151256683093464 has 160 divisors (see below), whose sum is σ = 456827651446320. Its totient is φ = 46481379220224.

The previous prime is 151256683093463. The next prime is 151256683093501. The reversal of 151256683093464 is 464390386652151.

151256683093464 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 5 + 6 + 6 + 83 + 0 + 93 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151256683093463) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4777839 + ... + 18037214.

Almost surely, 2^{151256683093464} is an apocalyptic number.

It is an amenable number.

151256683093464 is an abundant number, since it is smaller than the sum of its proper divisors (305570968352856).

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

151256683093464 is a wasteful number, since it uses less digits than its factorization.

151256683093464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22815871 (or 22815858 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 151256683093464 in words is "one hundred fifty-one trillion, two hundred fifty-six billion, six hundred eighty-three million, ninety-three thousand, four hundred sixty-four".