45829106400 has 288 divisors, whose sum is σ = 185983596288. Its totient is φ = 9522892800.

The previous prime is 45829106387. The next prime is 45829106459. The reversal of 45829106400 is 460192854.

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, 60804 + ... + 308796.

It is an arithmetic number, because the mean of its divisors is an integer number (645776376).

Almost surely, 2^45829106400 is an apocalyptic number.

45829106400 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 45829106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92991798144).

45829106400 is an abundant number, since it is smaller than the sum of its proper divisors (140154489888).

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

45829106400 is a wasteful number, since it uses less digits than its factorization.

45829106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248034 (or 248021 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 45829106400 in words is "forty-five billion, eight hundred twenty-nine million, one hundred six thousand, four hundred".