221462364876480 has 4480 divisors, whose sum is σ = 1032199767244800. Its totient is φ = 44736728924160.

The previous prime is 221462364876461. The next prime is 221462364876491. The reversal of 221462364876480 is 84678463264122.

221462364876480 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 23 + 64 + 8 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 404867211567 + ... + 404867212113.

It is an arithmetic number, because the mean of its divisors is an integer number (230401733760).

Almost surely, 2^{221462364876480} is an apocalyptic number.

221462364876480 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 221462364876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516099883622400).

221462364876480 is an abundant number, since it is smaller than the sum of its proper divisors (810737402368320).

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

221462364876480 is a wasteful number, since it uses less digits than its factorization.

221462364876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 221462364876480 in words is "two hundred twenty-one trillion, four hundred sixty-two billion, three hundred sixty-four million, eight hundred seventy-six thousand, four hundred eighty".