45459597600 has 360 divisors, whose sum is σ = 174512424240. Its totient is φ = 11484218880.

The previous prime is 45459597559. The next prime is 45459597613. The reversal of 45459597600 is 679595454.

45459597600 is a `hidden beast` number, since 4 + 5 + 45 + 9 + 597 + 6 + 0 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1212739 + ... + 1249661.

It is an arithmetic number, because the mean of its divisors is an integer number (484756734).

Almost surely, 2^45459597600 is an apocalyptic number.

45459597600 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 45459597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87256212120).

45459597600 is an abundant number, since it is smaller than the sum of its proper divisors (129052826640).

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

45459597600 is a wasteful number, since it uses less digits than its factorization.

45459597600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36974 (or 36952 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 45459597600 in words is "forty-five billion, four hundred fifty-nine million, five hundred ninety-seven thousand, six hundred".