45460206720 has 256 divisors, whose sum is σ = 162997632000. Its totient is φ = 12122348544.

The previous prime is 45460206713. The next prime is 45460206763. The reversal of 45460206720 is 2760206454.

45460206720 is a `hidden beast` number, since 45 + 4 + 602 + 0 + 6 + 7 + 2 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1383441 + ... + 1415919.

It is an arithmetic number, because the mean of its divisors is an integer number (636709500).

Almost surely, 2^45460206720 is an apocalyptic number.

45460206720 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 45460206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81498816000).

45460206720 is an abundant number, since it is smaller than the sum of its proper divisors (117537425280).

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

45460206720 is an frugal number, since it uses more digits than its factorization.

45460206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32519 (or 32489 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45460206720 in words is "forty-five billion, four hundred sixty million, two hundred six thousand, seven hundred twenty".