45646210080 has 144 divisors (see below), whose sum is σ = 156131224704. Its totient is φ = 12143915520.

The previous prime is 45646210037. The next prime is 45646210123. The reversal of 45646210080 is 8001264654.

45646210080 is a `hidden beast` number, since 4 + 5 + 646 + 2 + 1 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45646210037) and next prime (45646210123).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583867 + ... + 657413.

It is an arithmetic number, because the mean of its divisors is an integer number (1084244616).

Almost surely, 2^45646210080 is an apocalyptic number.

45646210080 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 45646210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78065612352).

45646210080 is an abundant number, since it is smaller than the sum of its proper divisors (110485014624).

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

45646210080 is a wasteful number, since it uses less digits than its factorization.

45646210080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73999 (or 73988 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 45646210080 in words is "forty-five billion, six hundred forty-six million, two hundred ten thousand, eighty".