151651983780864 has 880 divisors, whose sum is σ = 532077519891456. Its totient is φ = 42121086566400.

The previous prime is 151651983780733. The next prime is 151651983780877. The reversal of 151651983780864 is 468087389156151.

151651983780864 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 5 + 198 + 378 + 0 + 8 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 151651983780792 and 151651983780801.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 6736783369 + ... + 6736805879.

Almost surely, 2^{151651983780864} is an apocalyptic number.

151651983780864 is a gapful number since it is divisible by the number (14) 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 151651983780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266038759945728).

151651983780864 is an abundant number, since it is smaller than the sum of its proper divisors (380425536110592).

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

151651983780864 is a wasteful number, since it uses less digits than its factorization.

151651983780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22874 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 151651983780864 in words is "one hundred fifty-one trillion, six hundred fifty-one billion, nine hundred eighty-three million, seven hundred eighty thousand, eight hundred sixty-four".