46377039784761 has 45 divisors (see below), whose sum is σ = 78150937239141. Its totient is φ = 26500593545496.

The previous prime is 46377039784759. The next prime is 46377039784769. The reversal of 46377039784761 is 16748793077364.

It is a happy number.

The square root of 46377039784761 is 6810069.

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

46377039784761 is a `hidden beast` number, since 4 + 6 + 37 + 70 + 397 + 84 + 7 + 61 = 666.

It is not a de Polignac number, because 46377039784761 - 2¹ = 46377039784759 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46377039784761.

It is not an unprimeable number, because it can be changed into a prime (46377039784769) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1001056980 + ... + 1001103306.

Almost surely, 2^{46377039784761} is an apocalyptic number.

46377039784761 is the 6810069-th square number.

46377039784761 is the 3405035-th centered octagonal number.

It is an amenable number.

46377039784761 is a deficient number, since it is larger than the sum of its proper divisors (31773897454380).

46377039784761 is an frugal number, since it uses more digits than its factorization.

46377039784761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92688 (or 46337 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 46377039784761 in words is "forty-six trillion, three hundred seventy-seven billion, thirty-nine million, seven hundred eighty-four thousand, seven hundred sixty-one".