45634856652 has 288 divisors, whose sum is σ = 149726513664. Its totient is φ = 11807078400.

The previous prime is 45634856651. The next prime is 45634856653. The reversal of 45634856652 is 25665843654.

45634856652 is a `hidden beast` number, since 4 + 56 + 3 + 485 + 66 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (45634856651) and next prime (45634856653).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45634856651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21928252 + ... + 21930332.

It is an arithmetic number, because the mean of its divisors is an integer number (519883728).

Almost surely, 2^45634856652 is an apocalyptic number.

45634856652 is a gapful number since it is divisible by the number (42) 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 45634856652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74863256832).

45634856652 is an abundant number, since it is smaller than the sum of its proper divisors (104091657012).

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

45634856652 is a wasteful number, since it uses less digits than its factorization.

45634856652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2397 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 45634856652 in words is "forty-five billion, six hundred thirty-four million, eight hundred fifty-six thousand, six hundred fifty-two".