45717205248 has 576 divisors, whose sum is σ = 165817128960. Its totient is φ = 12225945600.

The previous prime is 45717205231. The next prime is 45717205283. The reversal of 45717205248 is 84250271754.

45717205248 is a `hidden beast` number, since 4 + 57 + 1 + 72 + 0 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×45717205248³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22732563 + ... + 22734573.

It is an arithmetic number, because the mean of its divisors is an integer number (287876960).

Almost surely, 2^45717205248 is an apocalyptic number.

45717205248 is a gapful number since it is divisible by the number (48) 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 45717205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82908564480).

45717205248 is an abundant number, since it is smaller than the sum of its proper divisors (120099923712).

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

45717205248 is a wasteful number, since it uses less digits than its factorization.

45717205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 45717205248 in words is "forty-five billion, seven hundred seventeen million, two hundred five thousand, two hundred forty-eight".