45478359833760 has 576 divisors, whose sum is σ = 187827598393344. Its totient is φ = 9782083584000.

The previous prime is 45478359833759. The next prime is 45478359833783. The reversal of 45478359833760 is 6733895387454.

45478359833760 is a `hidden beast` number, since 4 + 5 + 478 + 3 + 5 + 9 + 83 + 3 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1403593560 + ... + 1403625960.

It is an arithmetic number, because the mean of its divisors is an integer number (326089580544).

Almost surely, 2^{45478359833760} is an apocalyptic number.

45478359833760 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 45478359833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93913799196672).

45478359833760 is an abundant number, since it is smaller than the sum of its proper divisors (142349238559584).

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

45478359833760 is a wasteful number, since it uses less digits than its factorization.

45478359833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40637 (or 40626 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 45478359833760 in words is "forty-five trillion, four hundred seventy-eight billion, three hundred fifty-nine million, eight hundred thirty-three thousand, seven hundred sixty".