45524954880 has 360 divisors, whose sum is σ = 163747284624. Its totient is φ = 12076646400.

The previous prime is 45524954863. The next prime is 45524954897. The reversal of 45524954880 is 8845942554.

45524954880 is a `hidden beast` number, since 4 + 5 + 52 + 49 + 548 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45524954863) and next prime (45524954897).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 21875440 + ... + 21877520.

Almost surely, 2^45524954880 is an apocalyptic number.

45524954880 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 45524954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81873642312).

45524954880 is an abundant number, since it is smaller than the sum of its proper divisors (118222329744).

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

45524954880 is a wasteful number, since it uses less digits than its factorization.

45524954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 45524954880 in words is "forty-five billion, five hundred twenty-four million, nine hundred fifty-four thousand, eight hundred eighty".