151583338368 has 384 divisors, whose sum is σ = 547479728640. Its totient is φ = 39108096000.

The previous prime is 151583338349. The next prime is 151583338369. The reversal of 151583338368 is 863833385151.

151583338368 is a `hidden beast` number, since 1 + 51 + 583 + 3 + 3 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151583338369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13388646 + ... + 13399962.

It is an arithmetic number, because the mean of its divisors is an integer number (1425728460).

Almost surely, 2^151583338368 is an apocalyptic number.

151583338368 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 151583338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273739864320).

151583338368 is an abundant number, since it is smaller than the sum of its proper divisors (395896390272).

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

151583338368 is a wasteful number, since it uses less digits than its factorization.

151583338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506 (or 11491 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 151583338368 in words is "one hundred fifty-one billion, five hundred eighty-three million, three hundred thirty-eight thousand, three hundred sixty-eight".