146579775812352 has 216 divisors, whose sum is σ = 434082713470224. Its totient is φ = 47535578652672.

The previous prime is 146579775812291. The next prime is 146579775812387. The reversal of 146579775812352 is 253218577975641.

146579775812352 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 7 + 9 + 7 + 7 + 581 + 2 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1183436058 + ... + 1183559910.

Almost surely, 2^{146579775812352} is an apocalyptic number.

146579775812352 is a gapful number since it is divisible by the number (12) 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 146579775812352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217041356735112).

146579775812352 is an abundant number, since it is smaller than the sum of its proper divisors (287502937657872).

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

146579775812352 is a wasteful number, since it uses less digits than its factorization.

146579775812352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137795 (or 137778 counting only the distinct ones).

The product of its digits is 889056000, while the sum is 72.

The spelling of 146579775812352 in words is "one hundred forty-six trillion, five hundred seventy-nine billion, seven hundred seventy-five million, eight hundred twelve thousand, three hundred fifty-two".