146456797132800 has 2592 divisors, whose sum is σ = 683647882641360. Its totient is φ = 29608221081600.

The previous prime is 146456797132777. The next prime is 146456797132801. The reversal of 146456797132800 is 8231797654641.

146456797132800 is a `hidden beast` number, since 1 + 4 + 6 + 456 + 7 + 9 + 71 + 32 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146456797132801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9189726432 + ... + 9189742368.

It is a 1-persistent number, because it is pandigital, but 2⋅146456797132800 = 292913594265600 is not.

Almost surely, 2^{146456797132800} is an apocalyptic number.

146456797132800 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 146456797132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341823941320680).

146456797132800 is an abundant number, since it is smaller than the sum of its proper divisors (537191085508560).

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

146456797132800 is a wasteful number, since it uses less digits than its factorization.

146456797132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16002 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 146456797132800 in words is "one hundred forty-six trillion, four hundred fifty-six billion, seven hundred ninety-seven million, one hundred thirty-two thousand, eight hundred".