46054431360 has 1024 divisors, whose sum is σ = 203281920000. Its totient is φ = 9614868480.

The previous prime is 46054431359. The next prime is 46054431407. The reversal of 46054431360 is 6313445064.

46054431360 is a `hidden beast` number, since 4 + 605 + 4 + 43 + 1 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66648615 + ... + 66649305.

It is an arithmetic number, because the mean of its divisors is an integer number (198517500).

Almost surely, 2^46054431360 is an apocalyptic number.

46054431360 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 46054431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640960000).

46054431360 is an abundant number, since it is smaller than the sum of its proper divisors (157227488640).

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

46054431360 is a wasteful number, since it uses less digits than its factorization.

46054431360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 46054431360 in words is "forty-six billion, fifty-four million, four hundred thirty-one thousand, three hundred sixty".