48345746560 has 32 divisors (see below), whose sum is σ = 115576551900. Its totient is φ = 19338298368.

The previous prime is 48345746551. The next prime is 48345746567. The reversal of 48345746560 is 6564754384.

It can be written as a sum of positive squares in 2 ways, for example, as 48269847616 + 75898944 = 219704^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×48345746560² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48345746498 and 48345746507.

It is not an unprimeable number, because it can be changed into a prime (48345746567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37769475 + ... + 37770754.

Almost surely, 2^48345746560 is an apocalyptic number.

48345746560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48345746560 is an abundant number, since it is smaller than the sum of its proper divisors (67230805340).

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

48345746560 is an equidigital number, since it uses as much as digits as its factorization.

48345746560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75540248 (or 75540236 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 48345746560 in words is "forty-eight billion, three hundred forty-five million, seven hundred forty-six thousand, five hundred sixty".