151678141446816 has 36 divisors (see below), whose sum is σ = 431334714740202. Its totient is φ = 50559380482176.

The previous prime is 151678141446803. The next prime is 151678141446827. The reversal of 151678141446816 is 618644141876151.

151678141446816 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 78 + 1 + 41 + 446 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93390963210000 + 58287178236816 = 9663900^2 + 7634604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 263330106391 + ... + 263330106966.

Almost surely, 2^{151678141446816} is an apocalyptic number.

151678141446816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151678141446816 is an abundant number, since it is smaller than the sum of its proper divisors (279656573293386).

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

151678141446816 is a wasteful number, since it uses less digits than its factorization.

151678141446816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526660213373 (or 526660213362 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 151678141446816 in words is "one hundred fifty-one trillion, six hundred seventy-eight billion, one hundred forty-one million, four hundred forty-six thousand, eight hundred sixteen".