73813504149 has 320 divisors, whose sum is σ = 152015339520. Its totient is φ = 34537104000.

The previous prime is 73813504123. The next prime is 73813504153. The reversal of 73813504149 is 94140531837.

It is not a de Polignac number, because 73813504149 - 2²⁴ = 73796726933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73813504109) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 260824962 + ... + 260825244.

It is an arithmetic number, because the mean of its divisors is an integer number (475047936).

Almost surely, 2^73813504149 is an apocalyptic number.

It is an amenable number.

73813504149 is an abundant number, since it is smaller than the sum of its proper divisors (78201835371).

73813504149 is a wasteful number, since it uses less digits than its factorization.

73813504149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 73813504149 in words is "seventy-three billion, eight hundred thirteen million, five hundred four thousand, one hundred forty-nine".