23049008400 has 720 divisors, whose sum is σ = 87945799680. Its totient is φ = 5106816000.

The previous prime is 23049008387. The next prime is 23049008413. The reversal of 23049008400 is 480094032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23049008387) and next prime (23049008413).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291759561 + ... + 291759639.

It is an arithmetic number, because the mean of its divisors is an integer number (122146944).

Almost surely, 2^23049008400 is an apocalyptic number.

23049008400 is a gapful number since it is divisible by the number (20) 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 23049008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43972899840).

23049008400 is an abundant number, since it is smaller than the sum of its proper divisors (64896791280).

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

23049008400 is a wasteful number, since it uses less digits than its factorization.

23049008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 23049008400 in words is "twenty-three billion, forty-nine million, eight thousand, four hundred".