46468315525920 has 96 divisors (see below), whose sum is σ = 146705612622912. Its totient is φ = 12363578852352.

The previous prime is 46468315525861. The next prime is 46468315525927. The reversal of 46468315525920 is 2952551386464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (46468315525927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109052587 + ... + 109477866.

It is an arithmetic number, because the mean of its divisors is an integer number (1528183464822).

Almost surely, 2^{46468315525920} is an apocalyptic number.

46468315525920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46468315525920 is an abundant number, since it is smaller than the sum of its proper divisors (100237297096992).

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

46468315525920 is a wasteful number, since it uses less digits than its factorization.

46468315525920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218530914 (or 218530906 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 60.

The spelling of 46468315525920 in words is "forty-six trillion, four hundred sixty-eight billion, three hundred fifteen million, five hundred twenty-five thousand, nine hundred twenty".