149949396288 has 224 divisors, whose sum is σ = 451495607040. Its totient is φ = 48787200000.

The previous prime is 149949396283. The next prime is 149949396307. The reversal of 149949396288 is 882693949941.

149949396288 is a `hidden beast` number, since 1 + 49 + 9 + 493 + 96 + 2 + 8 + 8 = 666.

It is a Cunningham number, because it is equal to 387233²-1.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149949396283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12385438 + ... + 12397538.

Almost surely, 2^149949396288 is an apocalyptic number.

149949396288 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 149949396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225747803520).

149949396288 is an abundant number, since it is smaller than the sum of its proper divisors (301546210752).

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

149949396288 is a wasteful number, since it uses less digits than its factorization.

149949396288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12294 (or 12278 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 72.

The spelling of 149949396288 in words is "one hundred forty-nine billion, nine hundred forty-nine million, three hundred ninety-six thousand, two hundred eighty-eight".