45725472000 has 1440 divisors, whose sum is σ = 194456021760. Its totient is φ = 10583654400.

The previous prime is 45725471989. The next prime is 45725472071. The reversal of 45725472000 is 27452754.

It is a happy number.

45725472000 is a `hidden beast` number, since 45 + 72 + 547 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 775007971 + ... + 775008029.

It is an arithmetic number, because the mean of its divisors is an integer number (135038904).

Almost surely, 2^45725472000 is an apocalyptic number.

45725472000 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 45725472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97228010880).

45725472000 is an abundant number, since it is smaller than the sum of its proper divisors (148730549760).

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

45725472000 is a wasteful number, since it uses less digits than its factorization.

45725472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 45725472000 in words is "forty-five billion, seven hundred twenty-five million, four hundred seventy-two thousand".