45455963520 has 768 divisors, whose sum is σ = 170658109440. Its totient is φ = 10259251200.

The previous prime is 45455963491. The next prime is 45455963537. The reversal of 45455963520 is 2536955454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45455963520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251137830 + ... + 251138010.

It is an arithmetic number, because the mean of its divisors is an integer number (222211080).

Almost surely, 2^45455963520 is an apocalyptic number.

45455963520 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 45455963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85329054720).

45455963520 is an abundant number, since it is smaller than the sum of its proper divisors (125202145920).

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

45455963520 is a wasteful number, since it uses less digits than its factorization.

45455963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 45455963520 in words is "forty-five billion, four hundred fifty-five million, nine hundred sixty-three thousand, five hundred twenty".