46954079172 has 432 divisors, whose sum is σ = 162548201088. Its totient is φ = 11095418880.

The previous prime is 46954079171. The next prime is 46954079177. The reversal of 46954079172 is 27197045964.

46954079172 is a `hidden beast` number, since 4 + 6 + 9 + 540 + 7 + 91 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (46954079171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34197478 + ... + 34198850.

It is an arithmetic number, because the mean of its divisors is an integer number (376268984).

Almost surely, 2^46954079172 is an apocalyptic number.

46954079172 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 46954079172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81274100544).

46954079172 is an abundant number, since it is smaller than the sum of its proper divisors (115594121916).

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

46954079172 is a wasteful number, since it uses less digits than its factorization.

46954079172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 46954079172 in words is "forty-six billion, nine hundred fifty-four million, seventy-nine thousand, one hundred seventy-two".