146246749608960 has 6336 divisors, whose sum is σ = 753472284364800. Its totient is φ = 25684239974400.

The previous prime is 146246749608937. The next prime is 146246749608997. The reversal of 146246749608960 is 69806947642641.

146246749608960 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 4 + 6 + 7 + 4 + 9 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×146246749608960² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 190177827456 + ... + 190177828224.

It is an arithmetic number, because the mean of its divisors is an integer number (118919236800).

Almost surely, 2^{146246749608960} is an apocalyptic number.

146246749608960 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 146246749608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376736142182400).

146246749608960 is an abundant number, since it is smaller than the sum of its proper divisors (607225534755840).

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

146246749608960 is a wasteful number, since it uses less digits than its factorization.

146246749608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 146246749608960 in words is "one hundred forty-six trillion, two hundred forty-six billion, seven hundred forty-nine million, six hundred eight thousand, nine hundred sixty".