46368989280 has 576 divisors, whose sum is σ = 172205429760. Its totient is φ = 11324178432.

The previous prime is 46368989263. The next prime is 46368989291. The reversal of 46368989280 is 8298986364.

46368989280 is a `hidden beast` number, since 463 + 6 + 8 + 9 + 8 + 92 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 137593272 + ... + 137593608.

It is an arithmetic number, because the mean of its divisors is an integer number (298967760).

Almost surely, 2^46368989280 is an apocalyptic number.

46368989280 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 46368989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86102714880).

46368989280 is an abundant number, since it is smaller than the sum of its proper divisors (125836440480).

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

46368989280 is a wasteful number, since it uses less digits than its factorization.

46368989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 46368989280 in words is "forty-six billion, three hundred sixty-eight million, nine hundred eighty-nine thousand, two hundred eighty".