45252103680 has 960 divisors, whose sum is σ = 193461903360. Its totient is φ = 9986457600.

The previous prime is 45252103661. The next prime is 45252103697. The reversal of 45252103680 is 8630125254.

45252103680 is a `hidden beast` number, since 4 + 52 + 521 + 0 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104993065 + ... + 104993495.

It is an arithmetic number, because the mean of its divisors is an integer number (201522816).

Almost surely, 2^45252103680 is an apocalyptic number.

45252103680 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 45252103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96730951680).

45252103680 is an abundant number, since it is smaller than the sum of its proper divisors (148209799680).

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

45252103680 is a wasteful number, since it uses less digits than its factorization.

45252103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 45252103680 in words is "forty-five billion, two hundred fifty-two million, one hundred three thousand, six hundred eighty".