146936849904 has 1200 divisors, whose sum is σ = 537724154880. Its totient is φ = 38429614080.

The previous prime is 146936849863. The next prime is 146936849947. The reversal of 146936849904 is 409948639641.

146936849904 is a `hidden beast` number, since 1 + 469 + 3 + 6 + 84 + 9 + 90 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2193087279 + ... + 2193087345.

Almost surely, 2^146936849904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146936849904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268862077440).

146936849904 is an abundant number, since it is smaller than the sum of its proper divisors (390787304976).

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

146936849904 is a wasteful number, since it uses less digits than its factorization.

146936849904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 146936849904 in words is "one hundred forty-six billion, nine hundred thirty-six million, eight hundred forty-nine thousand, nine hundred four".