451056362064 has 320 divisors, whose sum is σ = 1463764027392. Its totient is φ = 116273203200.

The previous prime is 451056362059. The next prime is 451056362069. The reversal of 451056362064 is 460263650154.

It is an interprime number because it is at equal distance from previous prime (451056362059) and next prime (451056362069).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451056362069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353214994 + ... + 353216270.

Almost surely, 2^451056362064 is an apocalyptic number.

451056362064 is a gapful number since it is divisible by the number (44) 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 451056362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731882013696).

451056362064 is an abundant number, since it is smaller than the sum of its proper divisors (1012707665328).

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

451056362064 is a wasteful number, since it uses less digits than its factorization.

451056362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 451056362064 in words is "four hundred fifty-one billion, fifty-six million, three hundred sixty-two thousand, sixty-four".