149838641176896 has 280 divisors, whose sum is σ = 537481421205696. Its totient is φ = 40292743680000.

The previous prime is 149838641176871. The next prime is 149838641176937. The reversal of 149838641176896 is 698671146838941.

149838641176896 is a `hidden beast` number, since 1 + 4 + 98 + 38 + 6 + 411 + 7 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120828730 + ... + 122062521.

Almost surely, 2^{149838641176896} is an apocalyptic number.

149838641176896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149838641176896 is an abundant number, since it is smaller than the sum of its proper divisors (387642780028800).

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

149838641176896 is a wasteful number, since it uses less digits than its factorization.

149838641176896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242891299 (or 242891280 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 149838641176896 in words is "one hundred forty-nine trillion, eight hundred thirty-eight billion, six hundred forty-one million, one hundred seventy-six thousand, eight hundred ninety-six".