46067986350792 has 768 divisors, whose sum is σ = 160857351782400. Its totient is φ = 12053705437440.

The previous prime is 46067986350791. The next prime is 46067986350871. The reversal of 46067986350792 is 29705368976064.

46067986350792 is a `hidden beast` number, since 4 + 60 + 6 + 79 + 86 + 350 + 79 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46067986350792.

It is not an unprimeable number, because it can be changed into a prime (46067986350791) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8520061353 + ... + 8520066759.

It is an arithmetic number, because the mean of its divisors is an integer number (209449676800).

Almost surely, 2^{46067986350792} is an apocalyptic number.

46067986350792 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 46067986350792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80428675891200).

46067986350792 is an abundant number, since it is smaller than the sum of its proper divisors (114789365431608).

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

46067986350792 is a wasteful number, since it uses less digits than its factorization.

46067986350792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 46067986350792 in words is "forty-six trillion, sixty-seven billion, nine hundred eighty-six million, three hundred fifty thousand, seven hundred ninety-two".