45579137152 has 64 divisors (see below), whose sum is σ = 93373378560. Its totient is φ = 22148515840.

The previous prime is 45579137113. The next prime is 45579137159. The reversal of 45579137152 is 25173197554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45579137152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45579137096 and 45579137105.

It is not an unprimeable number, because it can be changed into a prime (45579137159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363713 + ... + 1396735.

It is an arithmetic number, because the mean of its divisors is an integer number (1458959040).

Almost surely, 2^45579137152 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 45579137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46686689280).

45579137152 is an abundant number, since it is smaller than the sum of its proper divisors (47794241408).

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

45579137152 is a wasteful number, since it uses less digits than its factorization.

45579137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33341 (or 33329 counting only the distinct ones).

The product of its digits is 1323000, while the sum is 49.

The spelling of 45579137152 in words is "forty-five billion, five hundred seventy-nine million, one hundred thirty-seven thousand, one hundred fifty-two".