10113049346400 has 1152 divisors, whose sum is σ = 49108506854400. Its totient is φ = 1939761561600.

The previous prime is 10113049346363. The next prime is 10113049346443. The reversal of 10113049346400 is 464394031101.

10113049346400 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 0 + 4 + 9 + 3 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21387736 + ... + 21855464.

It is an arithmetic number, because the mean of its divisors is an integer number (42628912200).

Almost surely, 2^{10113049346400} is an apocalyptic number.

10113049346400 is a gapful number since it is divisible by the number (10) 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 10113049346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554253427200).

10113049346400 is an abundant number, since it is smaller than the sum of its proper divisors (38995457508000).

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

10113049346400 is a wasteful number, since it uses less digits than its factorization.

10113049346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467789 (or 467770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10113049346400 in words is "ten trillion, one hundred thirteen billion, forty-nine million, three hundred forty-six thousand, four hundred".