150802256484864 has 960 divisors, whose sum is σ = 474438271507200. Its totient is φ = 45984802406400.

The previous prime is 150802256484863. The next prime is 150802256484899. The reversal of 150802256484864 is 468484652208051.

150802256484864 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 0 + 2 + 2 + 564 + 8 + 4 + 8 + 64 = 666.

It is a super-2 number, since 2×150802256484864² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150802256484863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133571528652 + ... + 133571529780.

It is an arithmetic number, because the mean of its divisors is an integer number (494206532820).

Almost surely, 2^{150802256484864} 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 150802256484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237219135753600).

150802256484864 is an abundant number, since it is smaller than the sum of its proper divisors (323636015022336).

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

150802256484864 is a wasteful number, since it uses less digits than its factorization.

150802256484864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 150802256484864 in words is "one hundred fifty trillion, eight hundred two billion, two hundred fifty-six million, four hundred eighty-four thousand, eight hundred sixty-four".