151611218688 has 144 divisors (see below), whose sum is σ = 408950111360. Its totient is φ = 49859960832.

The previous prime is 151611218617. The next prime is 151611218741. The reversal of 151611218688 is 886812116151.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 17396220 + ... + 17404932.

Almost surely, 2^151611218688 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 151611218688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204475055680).

151611218688 is an abundant number, since it is smaller than the sum of its proper divisors (257338892672).

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

151611218688 is a wasteful number, since it uses less digits than its factorization.

151611218688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9034 (or 9020 counting only the distinct ones).

The product of its digits is 184320, while the sum is 48.

The spelling of 151611218688 in words is "one hundred fifty-one billion, six hundred eleven million, two hundred eighteen thousand, six hundred eighty-eight".