146746161114336 has 72 divisors (see below), whose sum is σ = 476925023628144. Its totient is φ = 41927474603520.

The previous prime is 146746161114331. The next prime is 146746161114337. The reversal of 146746161114336 is 633411161647641.

146746161114336 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 4 + 6 + 1 + 611 + 14 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146746161114331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36395375245 + ... + 36395379276.

It is an arithmetic number, because the mean of its divisors is an integer number (6623958661502).

Almost surely, 2^{146746161114336} is an apocalyptic number.

146746161114336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146746161114336 is an abundant number, since it is smaller than the sum of its proper divisors (330178862513808).

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

146746161114336 is a wasteful number, since it uses less digits than its factorization.

146746161114336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72790754544 (or 72790754533 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 146746161114336 in words is "one hundred forty-six trillion, seven hundred forty-six billion, one hundred sixty-one million, one hundred fourteen thousand, three hundred thirty-six".