45961748352 has 480 divisors, whose sum is σ = 156926555280. Its totient is φ = 13301563392.

The previous prime is 45961748351. The next prime is 45961748359. The reversal of 45961748352 is 25384716954.

It is a happy number.

45961748352 is a `hidden beast` number, since 4 + 59 + 61 + 7 + 483 + 52 = 666.

It is a super-2 number, since 2×45961748352² (a number of 22 digits) contains 22 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 (45961748351) 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, 29786493 + ... + 29788035.

Almost surely, 2^45961748352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45961748352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78463277640).

45961748352 is an abundant number, since it is smaller than the sum of its proper divisors (110964806928).

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

45961748352 is a wasteful number, since it uses less digits than its factorization.

45961748352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1578 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 45961748352 in words is "forty-five billion, nine hundred sixty-one million, seven hundred forty-eight thousand, three hundred fifty-two".