221134505252400 has 300 divisors, whose sum is σ = 793653392102032. Its totient is φ = 58967760084480.

The previous prime is 221134505252387. The next prime is 221134505252429. The reversal of 221134505252400 is 4252505431122.

221134505252400 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 34 + 50 + 52 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×221134505252400³ (a number of 44 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2330063349 + ... + 2330158251.

Almost surely, 2^{221134505252400} is an apocalyptic number.

221134505252400 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 221134505252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396826696051016).

221134505252400 is an abundant number, since it is smaller than the sum of its proper divisors (572518886849632).

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

221134505252400 is a wasteful number, since it uses less digits than its factorization.

221134505252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166850 (or 166830 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 221134505252400 in words is "two hundred twenty-one trillion, one hundred thirty-four billion, five hundred five million, two hundred fifty-two thousand, four hundred".