45701619920 has 80 divisors (see below), whose sum is σ = 116158993920. Its totient is φ = 16583923200.

The previous prime is 45701619857. The next prime is 45701619949. The reversal of 45701619920 is 2991610754.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 367310 + ... + 475730.

It is an arithmetic number, because the mean of its divisors is an integer number (1451987424).

Almost surely, 2^45701619920 is an apocalyptic number.

45701619920 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 45701619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58079496960).

45701619920 is an abundant number, since it is smaller than the sum of its proper divisors (70457374000).

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

45701619920 is a wasteful number, since it uses less digits than its factorization.

45701619920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108924 (or 108918 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 45701619920 in words is "forty-five billion, seven hundred one million, six hundred nineteen thousand, nine hundred twenty".