45961483968 has 280 divisors, whose sum is σ = 151856694000. Its totient is φ = 13659881472.

The previous prime is 45961483927. The next prime is 45961483973. The reversal of 45961483968 is 86938416954.

45961483968 is a `hidden beast` number, since 4 + 5 + 9 + 61 + 483 + 96 + 8 = 666.

It is a super-2 number, since 2×45961483968² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1660708 + ... + 1688156.

Almost surely, 2^45961483968 is an apocalyptic number.

45961483968 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 45961483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75928347000).

45961483968 is an abundant number, since it is smaller than the sum of its proper divisors (105895210032).

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

45961483968 is a wasteful number, since it uses less digits than its factorization.

45961483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27509 (or 27490 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 45961483968 in words is "forty-five billion, nine hundred sixty-one million, four hundred eighty-three thousand, nine hundred sixty-eight".