149890046731776 has 560 divisors, whose sum is σ = 495360981118080. Its totient is φ = 44995076259840.

The previous prime is 149890046731771. The next prime is 149890046731793. The reversal of 149890046731776 is 677137640098941.

149890046731776 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 90 + 0 + 467 + 3 + 1 + 7 + 76 = 666.

It is a super-2 number, since 2×149890046731776² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149890046731771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 198564465 + ... + 199317903.

It is an arithmetic number, because the mean of its divisors is an integer number (884573180568).

Almost surely, 2^{149890046731776} is an apocalyptic number.

149890046731776 is a gapful number since it is divisible by the number (16) 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 149890046731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247680490559040).

149890046731776 is an abundant number, since it is smaller than the sum of its proper divisors (345470934386304).

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

149890046731776 is an frugal number, since it uses more digits than its factorization.

149890046731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753529 (or 753498 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 149890046731776 in words is "one hundred forty-nine trillion, eight hundred ninety billion, forty-six million, seven hundred thirty-one thousand, seven hundred seventy-six".