151486248144672 has 384 divisors, whose sum is σ = 534832110489600. Its totient is φ = 40722482515968.

The previous prime is 151486248144661. The next prime is 151486248144727. The reversal of 151486248144672 is 276441842684151.

151486248144672 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 86 + 2 + 48 + 1 + 446 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316331203 + ... + 316809725.

It is an arithmetic number, because the mean of its divisors is an integer number (1392791954400).

Almost surely, 2^{151486248144672} is an apocalyptic number.

151486248144672 is a gapful number since it is divisible by the number (12) 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 151486248144672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267416055244800).

151486248144672 is an abundant number, since it is smaller than the sum of its proper divisors (383345862344928).

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

151486248144672 is a wasteful number, since it uses less digits than its factorization.

151486248144672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481645 (or 481631 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 151486248144672 in words is "one hundred fifty-one trillion, four hundred eighty-six billion, two hundred forty-eight million, one hundred forty-four thousand, six hundred seventy-two".