45454465056 has 432 divisors, whose sum is σ = 164325998592. Its totient is φ = 10896399360.

The previous prime is 45454465033. The next prime is 45454465079. The reversal of 45454465056 is 65056445454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45454465033) and next prime (45454465079).

It is a super-2 number, since 2×45454465056² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45454464996 and 45454465014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7396321 + ... + 7402463.

It is an arithmetic number, because the mean of its divisors is an integer number (380384256).

Almost surely, 2^45454465056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45454465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162999296).

45454465056 is an abundant number, since it is smaller than the sum of its proper divisors (118871533536).

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

45454465056 is a wasteful number, since it uses less digits than its factorization.

45454465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 45454465056 in words is "forty-five billion, four hundred fifty-four million, four hundred sixty-five thousand, fifty-six".