46545276960 has 864 divisors, whose sum is σ = 199420341120. Its totient is φ = 9678569472.

The previous prime is 46545276931. The next prime is 46545276977. The reversal of 46545276960 is 6967254564.

46545276960 is a `hidden beast` number, since 4 + 6 + 54 + 527 + 6 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46545276897 and 46545276906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151613127 + ... + 151613433.

It is an arithmetic number, because the mean of its divisors is an integer number (230810580).

Almost surely, 2^46545276960 is an apocalyptic number.

46545276960 is a gapful number since it is divisible by the number (40) 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 46545276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99710170560).

46545276960 is an abundant number, since it is smaller than the sum of its proper divisors (152875064160).

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

46545276960 is a wasteful number, since it uses less digits than its factorization.

46545276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 46545276960 in words is "forty-six billion, five hundred forty-five million, two hundred seventy-six thousand, nine hundred sixty".