45461864448 has 918 divisors, whose sum is σ = 180844163682. Its totient is φ = 10899947520.

The previous prime is 45461864419. The next prime is 45461864453. The reversal of 45461864448 is 84446816454.

45461864448 is a `hidden beast` number, since 4 + 546 + 18 + 6 + 44 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31473598464 + 13988265984 = 177408^2 + 118272^2 .

It is a super-2 number, since 2×45461864448² (a number of 22 digits) contains 22 as substring.

Its product of digits (11796480) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 45461864394 and 45461864403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3497066490 + ... + 3497066502.

Almost surely, 2^45461864448 is an apocalyptic number.

45461864448 is a gapful number since it is divisible by the number (48) 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 45461864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90422081841).

45461864448 is an abundant number, since it is smaller than the sum of its proper divisors (135382299234).

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

45461864448 is a wasteful number, since it uses less digits than its factorization.

45461864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

It can be divided in two parts, 45461 and 864448, that added together give a palindrome (909909).

The spelling of 45461864448 in words is "forty-five billion, four hundred sixty-one million, eight hundred sixty-four thousand, four hundred forty-eight".