45661959252 has 180 divisors, whose sum is σ = 147724633056. Its totient is φ = 12042613440.

The previous prime is 45661959223. The next prime is 45661959257. The reversal of 45661959252 is 25295916654.

45661959252 is a `hidden beast` number, since 4 + 566 + 1 + 9 + 59 + 25 + 2 = 666.

It is a super-4 number, since 4×45661959252⁴ (a number of 44 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45661959257) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 323727 + ... + 442857.

Almost surely, 2^45661959252 is an apocalyptic number.

45661959252 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 45661959252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73862316528).

45661959252 is an abundant number, since it is smaller than the sum of its proper divisors (102062673804).

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

45661959252 is a wasteful number, since it uses less digits than its factorization.

45661959252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119180 (or 119156 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 45661959252 in words is "forty-five billion, six hundred sixty-one million, nine hundred fifty-nine thousand, two hundred fifty-two".