150979398211264 has 224 divisors, whose sum is σ = 360574371763200. Its totient is φ = 61354291138560.

The previous prime is 150979398211259. The next prime is 150979398211333. The reversal of 150979398211264 is 462112893979051.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 150979398211264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509437077 + ... + 509733355.

It is an arithmetic number, because the mean of its divisors is an integer number (1609707016800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅150979398211264 = 301958796422528, but 3⋅150979398211264 = 452938194633792 is not.

Almost surely, 2^{150979398211264} is an apocalyptic number.

150979398211264 is a gapful number since it is divisible by the number (14) 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 150979398211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180287185881600).

150979398211264 is an abundant number, since it is smaller than the sum of its proper divisors (209594973551936).

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

150979398211264 is a wasteful number, since it uses less digits than its factorization.

150979398211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297031 (or 297021 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 150979398211264 in words is "one hundred fifty trillion, nine hundred seventy-nine billion, three hundred ninety-eight million, two hundred eleven thousand, two hundred sixty-four".