45649289952 has 288 divisors, whose sum is σ = 157326624000. Its totient is φ = 12264597504.

The previous prime is 45649289929. The next prime is 45649289969. The reversal of 45649289952 is 25998294654.

45649289952 is a `hidden beast` number, since 4 + 5 + 6 + 492 + 8 + 99 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 45649289952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5243299 + ... + 5251997.

It is an arithmetic number, because the mean of its divisors is an integer number (546273000).

Almost surely, 2^45649289952 is an apocalyptic number.

45649289952 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 45649289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78663312000).

45649289952 is an abundant number, since it is smaller than the sum of its proper divisors (111677334048).

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

45649289952 is a wasteful number, since it uses less digits than its factorization.

45649289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878 (or 8867 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

It can be divided in two parts, 4564 and 9289952, that added together give a triangular number (9294516 = T₄₃₁₁).

The spelling of 45649289952 in words is "forty-five billion, six hundred forty-nine million, two hundred eighty-nine thousand, nine hundred fifty-two".