149991948288 has 1024 divisors, whose sum is σ = 577798502400. Its totient is φ = 37838389248.

The previous prime is 149991948283. The next prime is 149991948319. The reversal of 149991948288 is 882849199941.

149991948288 is a `hidden beast` number, since 1 + 49 + 99 + 19 + 482 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×149991948288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (107495424) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149991948283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6521389045 + ... + 6521389067.

It is an arithmetic number, because the mean of its divisors is an integer number (564256350).

Almost surely, 2^149991948288 is an apocalyptic number.

149991948288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149991948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288899251200).

149991948288 is an abundant number, since it is smaller than the sum of its proper divisors (427806554112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149991948288 is an frugal number, since it uses more digits than its factorization.

149991948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 48 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 72.

The spelling of 149991948288 in words is "one hundred forty-nine billion, nine hundred ninety-one million, nine hundred forty-eight thousand, two hundred eighty-eight".