45760333248 has 252 divisors, whose sum is σ = 160610534760. Its totient is φ = 12386110464.

The previous prime is 45760333237. The next prime is 45760333259. The reversal of 45760333248 is 84233306754.

45760333248 is a `hidden beast` number, since 4 + 5 + 7 + 603 + 3 + 32 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45760333237) and next prime (45760333259).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493590 + ... + 578922.

Almost surely, 2^45760333248 is an apocalyptic number.

45760333248 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 45760333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80305267380).

45760333248 is an abundant number, since it is smaller than the sum of its proper divisors (114850201512).

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

45760333248 is a wasteful number, since it uses less digits than its factorization.

45760333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85384 (or 85364 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 45760333248 in words is "forty-five billion, seven hundred sixty million, three hundred thirty-three thousand, two hundred forty-eight".