151948091501568 has 396 divisors, whose sum is σ = 466201943964432. Its totient is φ = 47656864972800.

The previous prime is 151948091501513. The next prime is 151948091501587. The reversal of 151948091501568 is 865105190849151.

151948091501568 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 480 + 91 + 5 + 0 + 1 + 5 + 68 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15184175221 + ... + 15184185227.

Almost surely, 2^{151948091501568} is an apocalyptic number.

151948091501568 is a gapful number since it is divisible by the number (18) 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 151948091501568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233100971982216).

151948091501568 is an abundant number, since it is smaller than the sum of its proper divisors (314253852462864).

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

151948091501568 is a wasteful number, since it uses less digits than its factorization.

151948091501568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15768 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 63.

The spelling of 151948091501568 in words is "one hundred fifty-one trillion, nine hundred forty-eight billion, ninety-one million, five hundred one thousand, five hundred sixty-eight".