46170346400 has 108 divisors (see below), whose sum is σ = 115844745618. Its totient is φ = 17968573440.

The previous prime is 46170346379. The next prime is 46170346423. The reversal of 46170346400 is 464307164.

It can be written as a sum of positive squares in 9 ways, for example, as 12162560656 + 34007785744 = 110284^2 + 184412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1074122 + ... + 1116278.

Almost surely, 2^46170346400 is an apocalyptic number.

46170346400 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 46170346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57922372809).

46170346400 is an abundant number, since it is smaller than the sum of its proper divisors (69674399218).

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

46170346400 is a wasteful number, since it uses less digits than its factorization.

46170346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42251 (or 42201 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 46170346400 in words is "forty-six billion, one hundred seventy million, three hundred forty-six thousand, four hundred".