46679617142784 has 768 divisors, whose sum is σ = 142555926240000. Its totient is φ = 15261483663360.

The previous prime is 46679617142707. The next prime is 46679617142791. The reversal of 46679617142784 is 48724171697664.

46679617142784 is a `hidden beast` number, since 4 + 6 + 6 + 79 + 61 + 71 + 427 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141026033499 + ... + 141026033829.

It is an arithmetic number, because the mean of its divisors is an integer number (185619695625).

Almost surely, 2^{46679617142784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46679617142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71277963120000).

46679617142784 is an abundant number, since it is smaller than the sum of its proper divisors (95876309097216).

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

46679617142784 is an frugal number, since it uses more digits than its factorization.

46679617142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 624 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 46679617142784 in words is "forty-six trillion, six hundred seventy-nine billion, six hundred seventeen million, one hundred forty-two thousand, seven hundred eighty-four".