46142364717792 has 432 divisors, whose sum is σ = 155067765128640. Its totient is φ = 12974967742464.

The previous prime is 46142364717767. The next prime is 46142364717857. The reversal of 46142364717792 is 29771746324164.

It is a happy number.

46142364717792 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 2 + 3 + 6 + 471 + 77 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348881308 + ... + 349013540.

It is an arithmetic number, because the mean of its divisors is an integer number (358953160020).

Almost surely, 2^{46142364717792} is an apocalyptic number.

46142364717792 is a gapful number since it is divisible by the number (42) 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 46142364717792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77533882564320).

46142364717792 is an abundant number, since it is smaller than the sum of its proper divisors (108925400410848).

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

46142364717792 is a wasteful number, since it uses less digits than its factorization.

46142364717792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132655 (or 132637 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 46142364717792 in words is "forty-six trillion, one hundred forty-two billion, three hundred sixty-four million, seven hundred seventeen thousand, seven hundred ninety-two".