45161018102400 has 768 divisors, whose sum is σ = 160664260579200. Its totient is φ = 11112284160000.

The previous prime is 45161018102371. The next prime is 45161018102411. The reversal of 45161018102400 is 420181016154.

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, 4793649690 + ... + 4793659110.

Almost surely, 2^{45161018102400} is an apocalyptic number.

45161018102400 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 45161018102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80332130289600).

45161018102400 is an abundant number, since it is smaller than the sum of its proper divisors (115503242476800).

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

45161018102400 is a wasteful number, since it uses less digits than its factorization.

45161018102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 45161018102400 its reverse (420181016154), we get a palindrome (45581199118554).

The spelling of 45161018102400 in words is "forty-five trillion, one hundred sixty-one billion, eighteen million, one hundred two thousand, four hundred".