45896106200 has 96 divisors (see below), whose sum is σ = 122215392000. Its totient is φ = 15701888640.

The previous prime is 45896106197. The next prime is 45896106229. The reversal of 45896106200 is 260169854.

It is a happy number.

45896106200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618701 + ... + 688899.

It is an arithmetic number, because the mean of its divisors is an integer number (1273077000).

Almost surely, 2^45896106200 is an apocalyptic number.

45896106200 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 45896106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61107696000).

45896106200 is an abundant number, since it is smaller than the sum of its proper divisors (76319285800).

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

45896106200 is a wasteful number, since it uses less digits than its factorization.

45896106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70689 (or 70680 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 45896106200 in words is "forty-five billion, eight hundred ninety-six million, one hundred six thousand, two hundred".