151384215902464 has 216 divisors, whose sum is σ = 324015220448640. Its totient is φ = 70393979031552.

The previous prime is 151384215902411. The next prime is 151384215902473. The reversal of 151384215902464 is 464209512483151.

It is a super-2 number, since 2×151384215902464² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6397495497 + ... + 6397519159.

It is an arithmetic number, because the mean of its divisors is an integer number (1500070465040).

Almost surely, 2^{151384215902464} 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 151384215902464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162007610224320).

151384215902464 is an abundant number, since it is smaller than the sum of its proper divisors (172631004546176).

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

151384215902464 is an equidigital number, since it uses as much as digits as its factorization.

151384215902464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24125 (or 24044 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 151384215902464 in words is "one hundred fifty-one trillion, three hundred eighty-four billion, two hundred fifteen million, nine hundred two thousand, four hundred sixty-four".