146396963520 has 196 divisors, whose sum is σ = 522673386960. Its totient is φ = 39039128064.

The previous prime is 146396963519. The next prime is 146396963539. The reversal of 146396963520 is 25369693641.

146396963520 is a `hidden beast` number, since 1 + 463 + 96 + 96 + 3 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 80500 + ... + 547059.

Almost surely, 2^146396963520 is an apocalyptic number.

146396963520 is a gapful number since it is divisible by the number (10) 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 146396963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261336693480).

146396963520 is an abundant number, since it is smaller than the sum of its proper divisors (376276423440).

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

146396963520 is an frugal number, since it uses more digits than its factorization.

146396963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627594 (or 627569 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 146396963520 in words is "one hundred forty-six billion, three hundred ninety-six million, nine hundred sixty-three thousand, five hundred twenty".