45254903040 has 864 divisors, whose sum is σ = 178915080960. Its totient is φ = 10809114624.

The previous prime is 45254903039. The next prime is 45254903051. The reversal of 45254903040 is 4030945254.

It is a happy number.

45254903040 is a `hidden beast` number, since 4 + 525 + 4 + 90 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45254902986 and 45254903004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229720222 + ... + 229720418.

It is an arithmetic number, because the mean of its divisors is an integer number (207077640).

Almost surely, 2^45254903040 is an apocalyptic number.

45254903040 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 45254903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89457540480).

45254903040 is an abundant number, since it is smaller than the sum of its proper divisors (133660177920).

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

45254903040 is a wasteful number, since it uses less digits than its factorization.

45254903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45254903040 in words is "forty-five billion, two hundred fifty-four million, nine hundred three thousand, forty".