45976965840 has 120 divisors (see below), whose sum is σ = 166283393640. Its totient is φ = 11317404672.

The previous prime is 45976965823. The next prime is 45976965869. The reversal of 45976965840 is 4856967954.

45976965840 is a `hidden beast` number, since 45 + 9 + 7 + 6 + 9 + 6 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 960008256 + 45016957584 = 30984^2 + 212172^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×45976965840² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446675 + ... + 2465394.

It is an arithmetic number, because the mean of its divisors is an integer number (1385694947).

Almost surely, 2^45976965840 is an apocalyptic number.

45976965840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45976965840 is an abundant number, since it is smaller than the sum of its proper divisors (120306427800).

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

45976965840 is a wasteful number, since it uses less digits than its factorization.

45976965840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912101 (or 4912092 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 45976965840 in words is "forty-five billion, nine hundred seventy-six million, nine hundred sixty-five thousand, eight hundred forty".