229623961190400 has 5376 divisors, whose sum is σ = 1065850754400000. Its totient is φ = 48880319201280.

The previous prime is 229623961190311. The next prime is 229623961190479. The reversal of 229623961190400 is 4091169326922.

229623961190400 is a `hidden beast` number, since 2 + 2 + 9 + 62 + 3 + 96 + 1 + 1 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3891931545571 + ... + 3891931545629.

Almost surely, 2^{229623961190400} is an apocalyptic number.

229623961190400 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 229623961190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532925377200000).

229623961190400 is an abundant number, since it is smaller than the sum of its proper divisors (836226793209600).

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

229623961190400 is an frugal number, since it uses more digits than its factorization.

229623961190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 229623961190400 in words is "two hundred twenty-nine trillion, six hundred twenty-three billion, nine hundred sixty-one million, one hundred ninety thousand, four hundred".