45813846960 has 480 divisors, whose sum is σ = 181897976832. Its totient is φ = 10115020800.

The previous prime is 45813846959. The next prime is 45813846973. The reversal of 45813846960 is 6964831854.

45813846960 is a `hidden beast` number, since 45 + 8 + 138 + 469 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45813846897 and 45813846906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28157667 + ... + 28159293.

Almost surely, 2^45813846960 is an apocalyptic number.

45813846960 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 45813846960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90948988416).

45813846960 is an abundant number, since it is smaller than the sum of its proper divisors (136084129872).

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

45813846960 is a wasteful number, since it uses less digits than its factorization.

45813846960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 45813846960 in words is "forty-five billion, eight hundred thirteen million, eight hundred forty-six thousand, nine hundred sixty".