45621840320 has 224 divisors, whose sum is σ = 127086091776. Its totient is φ = 15275520000.

The previous prime is 45621840269. The next prime is 45621840337. The reversal of 45621840320 is 2304812654.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29797955 + ... + 29799485.

It is an arithmetic number, because the mean of its divisors is an integer number (567348624).

Almost surely, 2^45621840320 is an apocalyptic number.

45621840320 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 45621840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63543045888).

45621840320 is an abundant number, since it is smaller than the sum of its proper divisors (81464251456).

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

45621840320 is a wasteful number, since it uses less digits than its factorization.

45621840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 45621840320 in words is "forty-five billion, six hundred twenty-one million, eight hundred forty thousand, three hundred twenty".