151518017664 has 256 divisors, whose sum is σ = 482515488000. Its totient is φ = 46531141632.

The previous prime is 151518017653. The next prime is 151518017681. The reversal of 151518017664 is 466710815151.

151518017664 is a `hidden beast` number, since 1 + 5 + 1 + 518 + 0 + 1 + 76 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25561069 + ... + 25566995.

It is an arithmetic number, because the mean of its divisors is an integer number (1884826125).

Almost surely, 2^151518017664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151518017664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241257744000).

151518017664 is an abundant number, since it is smaller than the sum of its proper divisors (330997470336).

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

151518017664 is a wasteful number, since it uses less digits than its factorization.

151518017664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 151518017664 in words is "one hundred fifty-one billion, five hundred eighteen million, seventeen thousand, six hundred sixty-four".