45452104859520 has 384 divisors, whose sum is σ = 157273216682400. Its totient is φ = 12095767756800.

The previous prime is 45452104859507. The next prime is 45452104859593. The reversal of 45452104859520 is 2595840125454.

It is a happy number.

45452104859520 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 2 + 1 + 0 + 48 + 595 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6616986646 + ... + 6616993514.

Almost surely, 2^{45452104859520} is an apocalyptic number.

45452104859520 is a gapful number since it is divisible by the number (40) 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 45452104859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78636608341200).

45452104859520 is an abundant number, since it is smaller than the sum of its proper divisors (111821111822880).

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

45452104859520 is a wasteful number, since it uses less digits than its factorization.

45452104859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 45452104859520 in words is "forty-five trillion, four hundred fifty-two billion, one hundred four million, eight hundred fifty-nine thousand, five hundred twenty".