45093293904 has 80 divisors (see below), whose sum is σ = 120879120384. Its totient is φ = 14469974400.

The previous prime is 45093293881. The next prime is 45093293953. The reversal of 45093293904 is 40939239054.

It is a super-2 number, since 2×45093293904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204877 + ... + 363539.

Almost surely, 2^45093293904 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 45093293904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60439560192).

45093293904 is an abundant number, since it is smaller than the sum of its proper divisors (75785826480).

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

45093293904 is a wasteful number, since it uses less digits than its factorization.

45093293904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158896 (or 158890 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 45093293904 in words is "forty-five billion, ninety-three million, two hundred ninety-three thousand, nine hundred four".