451221677568 has 640 divisors, whose sum is σ = 1424448115200. Its totient is φ = 140813697024.

The previous prime is 451221677531. The next prime is 451221677579. The reversal of 451221677568 is 865776122154.

It is a happy number.

451221677568 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 2 + 1 + 6 + 77 + 568 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2874023346 + ... + 2874023502.

It is an arithmetic number, because the mean of its divisors is an integer number (2225700180).

Almost surely, 2^451221677568 is an apocalyptic number.

451221677568 is a gapful number since it is divisible by the number (48) 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 451221677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712224057600).

451221677568 is an abundant number, since it is smaller than the sum of its proper divisors (973226437632).

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

451221677568 is a wasteful number, since it uses less digits than its factorization.

451221677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 365 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 451221677568 in words is "four hundred fifty-one billion, two hundred twenty-one million, six hundred seventy-seven thousand, five hundred sixty-eight".