45793917120 has 448 divisors, whose sum is σ = 169624857600. Its totient is φ = 10251878400.

The previous prime is 45793917119. The next prime is 45793917121. The reversal of 45793917120 is 2171939754.

It is an interprime number because it is at equal distance from previous prime (45793917119) and next prime (45793917121).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45793917120.

It is not an unprimeable number, because it can be changed into a prime (45793917121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73980171 + ... + 73980789.

Almost surely, 2^45793917120 is an apocalyptic number.

45793917120 is a gapful number since it is divisible by the number (40) 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 45793917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84812428800).

45793917120 is an abundant number, since it is smaller than the sum of its proper divisors (123830940480).

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

45793917120 is a wasteful number, since it uses less digits than its factorization.

45793917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 45793917120 in words is "forty-five billion, seven hundred ninety-three million, nine hundred seventeen thousand, one hundred twenty".