146556041435604 has 168 divisors, whose sum is σ = 405225374222592. Its totient is φ = 46265357476800.

The previous prime is 146556041435599. The next prime is 146556041435611. The reversal of 146556041435604 is 406534140655641.

146556041435604 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 5 + 60 + 4 + 14 + 3 + 560 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4043884 + ... + 17591619.

It is an arithmetic number, because the mean of its divisors is an integer number (2412055798944).

Almost surely, 2^{146556041435604} is an apocalyptic number.

It is an amenable number.

146556041435604 is an abundant number, since it is smaller than the sum of its proper divisors (258669332786988).

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

146556041435604 is a wasteful number, since it uses less digits than its factorization.

146556041435604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21635649 (or 21635632 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 146556041435604 in words is "one hundred forty-six trillion, five hundred fifty-six billion, forty-one million, four hundred thirty-five thousand, six hundred four".