45497532816000 has 1280 divisors, whose sum is σ = 172789560028800. Its totient is φ = 11861390131200.

The previous prime is 45497532815983. The next prime is 45497532816011. The reversal of 45497532816000 is 61823579454.

It is a happy number.

45497532816000 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 7 + 5 + 3 + 28 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 14757550459 + ... + 14757553541.

It is a 1-persistent number, because it is pandigital, but 2⋅45497532816000 = 90995065632000 is not.

Almost surely, 2^{45497532816000} is an apocalyptic number.

45497532816000 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 45497532816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86394780014400).

45497532816000 is an abundant number, since it is smaller than the sum of its proper divisors (127292027212800).

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

45497532816000 is a wasteful number, since it uses less digits than its factorization.

45497532816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 45497532816000 in words is "forty-five trillion, four hundred ninety-seven billion, five hundred thirty-two million, eight hundred sixteen thousand".