151109421762456 has 48 divisors (see below), whose sum is σ = 414435122992800. Its totient is φ = 49732214755392.

The previous prime is 151109421762413. The next prime is 151109421762457. The reversal of 151109421762456 is 654267124901151.

151109421762456 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 0 + 9 + 4 + 2 + 1 + 7 + 624 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151109421762457) 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 11 ways as a sum of consecutive naturals, for example, 13283171331 + ... + 13283182706.

It is an arithmetic number, because the mean of its divisors is an integer number (8634065062350).

Almost surely, 2^{151109421762456} is an apocalyptic number.

It is an amenable number.

151109421762456 is an abundant number, since it is smaller than the sum of its proper divisors (263325701230344).

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

151109421762456 is a wasteful number, since it uses less digits than its factorization.

151109421762456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26566354128 (or 26566354121 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 151109421762456 in words is "one hundred fifty-one trillion, one hundred nine billion, four hundred twenty-one million, seven hundred sixty-two thousand, four hundred fifty-six".