45529799496480 has 960 divisors, whose sum is σ = 177269142048768. Its totient is φ = 10936494858240.

The previous prime is 45529799496443. The next prime is 45529799496551. The reversal of 45529799496480 is 8469499792554.

45529799496480 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 9 + 7 + 99 + 49 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 45529799496480.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1305197119 + ... + 1305232001.

Almost surely, 2^{45529799496480} is an apocalyptic number.

45529799496480 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 45529799496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88634571024384).

45529799496480 is an abundant number, since it is smaller than the sum of its proper divisors (131739342552288).

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

45529799496480 is a wasteful number, since it uses less digits than its factorization.

45529799496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35111 (or 35094 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 45529799496480 in words is "forty-five trillion, five hundred twenty-nine billion, seven hundred ninety-nine million, four hundred ninety-six thousand, four hundred eighty".