46496578945600 has 567 divisors, whose sum is σ = 135385547783481. Its totient is φ = 15717153446400.

The previous prime is 46496578945541. The next prime is 46496578945631. The reversal of 46496578945600 is 654987569464.

The square root of 46496578945600 is 6818840.

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

It can be written as a sum of positive squares in only one way, i.e., 16738768420416 + 29757810525184 = 4091304^2 + 5455072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 654881393565 + ... + 654881393635.

Almost surely, 2^{46496578945600} is an apocalyptic number.

46496578945600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46496578945600 is the 6818840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46496578945600

46496578945600 is an abundant number, since it is smaller than the sum of its proper divisors (88888968837881).

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

46496578945600 is an frugal number, since it uses more digits than its factorization.

46496578945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 73.

The spelling of 46496578945600 in words is "forty-six trillion, four hundred ninety-six billion, five hundred seventy-eight million, nine hundred forty-five thousand, six hundred".