451978296714 has 192 divisors, whose sum is σ = 1198783272960. Its totient is φ = 120195653760.

The previous prime is 451978296689. The next prime is 451978296719. The reversal of 451978296714 is 417692879154.

451978296714 is a `hidden beast` number, since 451 + 9 + 7 + 82 + 96 + 7 + 14 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (451978296719) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216567379 + ... + 216569465.

It is an arithmetic number, because the mean of its divisors is an integer number (6243662880).

Almost surely, 2^451978296714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451978296714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599391636480).

451978296714 is an abundant number, since it is smaller than the sum of its proper divisors (746804976246).

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

451978296714 is a wasteful number, since it uses less digits than its factorization.

451978296714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3662 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 451978296714 in words is "four hundred fifty-one billion, nine hundred seventy-eight million, two hundred ninety-six thousand, seven hundred fourteen".