23154185090400 has 1152 divisors, whose sum is σ = 96440527411200. Its totient is φ = 4792986132480.

The previous prime is 23154185090383. The next prime is 23154185090411. The reversal of 23154185090400 is 409058145132.

It is a super-2 number, since 2×23154185090400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 567164389 + ... + 567205211.

It is an arithmetic number, because the mean of its divisors is an integer number (83715735600).

Almost surely, 2^{23154185090400} is an apocalyptic number.

23154185090400 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 23154185090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48220263705600).

23154185090400 is an abundant number, since it is smaller than the sum of its proper divisors (73286342320800).

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

23154185090400 is a wasteful number, since it uses less digits than its factorization.

23154185090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40933 (or 40906 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 23154185090400 in words is "twenty-three trillion, one hundred fifty-four billion, one hundred eighty-five million, ninety thousand, four hundred".