46160610105600 has 243 divisors, whose sum is σ = 165040429284003. Its totient is φ = 12309061201920.

The previous prime is 46160610105529. The next prime is 46160610105613. The reversal of 46160610105600 is 650101606164.

It is a happy number.

The square root of 46160610105600 is 6794160.

It is a perfect power (a square), and thus also a powerful number.

46160610105600 is a `hidden beast` number, since 46 + 1 + 6 + 0 + 6 + 1 + 0 + 1 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2094804654336 + 44065805451264 = 1447344^2 + 6638208^2 .

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 26 ways as a sum of consecutive naturals, for example, 1630584246 + ... + 1630612554.

Almost surely, 2^{46160610105600} is an apocalyptic number.

46160610105600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46160610105600 is the 6794160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46160610105600

46160610105600 is an abundant number, since it is smaller than the sum of its proper divisors (118879819178403).

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

46160610105600 is an frugal number, since it uses more digits than its factorization.

46160610105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56650 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

46160610105600 divided by its sum of digits (36) gives a square (1282239169600 = 1132360²).

The spelling of 46160610105600 in words is "forty-six trillion, one hundred sixty billion, six hundred ten million, one hundred five thousand, six hundred".