45255134597400 has 1152 divisors, whose sum is σ = 198110700103680. Its totient is φ = 9345137080320.

The previous prime is 45255134597341. The next prime is 45255134597411. The reversal of 45255134597400 is 479543155254.

45255134597400 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 5 + 1 + 3 + 4 + 597 + 40 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 207753342 + ... + 207971058.

It is an arithmetic number, because the mean of its divisors is an integer number (171971093840).

Almost surely, 2^{45255134597400} is an apocalyptic number.

45255134597400 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 45255134597400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99055350051840).

45255134597400 is an abundant number, since it is smaller than the sum of its proper divisors (152855565506280).

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

45255134597400 is a wasteful number, since it uses less digits than its factorization.

45255134597400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217815 (or 217794 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 45255134597400 in words is "forty-five trillion, two hundred fifty-five billion, one hundred thirty-four million, five hundred ninety-seven thousand, four hundred".