46811585772 has 120 divisors (see below), whose sum is σ = 142227697920. Its totient is φ = 13148010720.

The previous prime is 46811585767. The next prime is 46811585783. The reversal of 46811585772 is 27758511864.

46811585772 is a `hidden beast` number, since 4 + 6 + 8 + 11 + 58 + 577 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41104 + ... + 308727.

It is an arithmetic number, because the mean of its divisors is an integer number (1185230816).

Almost surely, 2^46811585772 is an apocalyptic number.

46811585772 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 46811585772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71113848960).

46811585772 is an abundant number, since it is smaller than the sum of its proper divisors (95416112148).

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

46811585772 is a wasteful number, since it uses less digits than its factorization.

46811585772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349913 (or 349902 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 46811585772 in words is "forty-six billion, eight hundred eleven million, five hundred eighty-five thousand, seven hundred seventy-two".