45552983040 has 352 divisors, whose sum is σ = 168937436160. Its totient is φ = 11618500608.

The previous prime is 45552983039. The next prime is 45552983041. The reversal of 45552983040 is 4038925554.

45552983040 is a `hidden beast` number, since 4 + 5 + 5 + 529 + 83 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45552983039) and next prime (45552983041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45552983041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172357 + ... + 3186683.

Almost surely, 2^45552983040 is an apocalyptic number.

45552983040 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 45552983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84468718080).

45552983040 is an abundant number, since it is smaller than the sum of its proper divisors (123384453120).

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

45552983040 is a wasteful number, since it uses less digits than its factorization.

45552983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 14360 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 45552983040 in words is "forty-five billion, five hundred fifty-two million, nine hundred eighty-three thousand, forty".