45590065920 has 432 divisors, whose sum is σ = 186956340480. Its totient is φ = 10420088832.

The previous prime is 45590065867. The next prime is 45590065951. The reversal of 45590065920 is 2956009554.

It is a happy number.

45590065920 is a `hidden beast` number, since 4 + 5 + 59 + 0 + 0 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×45590065920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2166811 + ... + 2187749.

Almost surely, 2^45590065920 is an apocalyptic number.

45590065920 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 45590065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93478170240).

45590065920 is an abundant number, since it is smaller than the sum of its proper divisors (141366274560).

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

45590065920 is an equidigital number, since it uses as much as digits as its factorization.

45590065920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20982 (or 20956 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 45590065920 in words is "forty-five billion, five hundred ninety million, sixty-five thousand, nine hundred twenty".