151563431205216 has 96 divisors (see below), whose sum is σ = 468063537590880. Its totient is φ = 47549311746048.

The previous prime is 151563431205157. The next prime is 151563431205239. The reversal of 151563431205216 is 612502134365151.

It is a happy number.

151563431205216 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 6 + 3 + 431 + 205 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5159415841 + ... + 5159445216.

It is an arithmetic number, because the mean of its divisors is an integer number (4875661849905).

Almost surely, 2^{151563431205216} is an apocalyptic number.

151563431205216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151563431205216 is an abundant number, since it is smaller than the sum of its proper divisors (316500106385664).

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

151563431205216 is a wasteful number, since it uses less digits than its factorization.

151563431205216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318861093 (or 10318861079 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 151563431205216 in words is "one hundred fifty-one trillion, five hundred sixty-three billion, four hundred thirty-one million, two hundred five thousand, two hundred sixteen".