151116955776 has 256 divisors, whose sum is σ = 458933904000. Its totient is φ = 48917385216.

The previous prime is 151116955771. The next prime is 151116955777. The reversal of 151116955776 is 677559611151.

151116955776 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 1 + 69 + 5 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (151116955771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105749430 + ... + 105750858.

Almost surely, 2^151116955776 is an apocalyptic number.

151116955776 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 151116955776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229466952000).

151116955776 is an abundant number, since it is smaller than the sum of its proper divisors (307816948224).

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

151116955776 is a wasteful number, since it uses less digits than its factorization.

151116955776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2298 counting only the distinct ones).

The product of its digits is 1984500, while the sum is 54.

The spelling of 151116955776 in words is "one hundred fifty-one billion, one hundred sixteen million, nine hundred fifty-five thousand, seven hundred seventy-six".