46577534976 has 240 divisors, whose sum is σ = 159002363520. Its totient is φ = 13307535360.

The previous prime is 46577534953. The next prime is 46577534987. The reversal of 46577534976 is 67943577564.

It is a happy number.

46577534976 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 7 + 534 + 97 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1141161 + ... + 1181271.

It is an arithmetic number, because the mean of its divisors is an integer number (662509848).

Almost surely, 2^46577534976 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 46577534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79501181760).

46577534976 is an abundant number, since it is smaller than the sum of its proper divisors (112424828544).

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

46577534976 is an equidigital number, since it uses as much as digits as its factorization.

46577534976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40152 (or 40123 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 46577534976 in words is "forty-six billion, five hundred seventy-seven million, five hundred thirty-four thousand, nine hundred seventy-six".