45280537683264 has 784 divisors, whose sum is σ = 161701666822080. Its totient is φ = 12422708674560.

The previous prime is 45280537683259. The next prime is 45280537683301. The reversal of 45280537683264 is 46238673508254.

45280537683264 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 0 + 537 + 6 + 8 + 32 + 64 = 666.

It is a super-2 number, since 2×45280537683264² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 195792979 + ... + 196024109.

Almost surely, 2^{45280537683264} 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 45280537683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80850833411040).

45280537683264 is an abundant number, since it is smaller than the sum of its proper divisors (116421129138816).

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

45280537683264 is a wasteful number, since it uses less digits than its factorization.

45280537683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231210 (or 231185 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 45280537683264 in words is "forty-five trillion, two hundred eighty billion, five hundred thirty-seven million, six hundred eighty-three thousand, two hundred sixty-four".