451500542064 has 480 divisors, whose sum is σ = 1520902656000. Its totient is φ = 123212759040.

The previous prime is 451500542057. The next prime is 451500542093. The reversal of 451500542064 is 460245005154.

451500542064 is a `hidden beast` number, since 4 + 5 + 1 + 50 + 0 + 542 + 0 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434552457 + ... + 434553495.

It is an arithmetic number, because the mean of its divisors is an integer number (3168547200).

Almost surely, 2^451500542064 is an apocalyptic number.

451500542064 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 451500542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760451328000).

451500542064 is an abundant number, since it is smaller than the sum of its proper divisors (1069402113936).

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

451500542064 is a wasteful number, since it uses less digits than its factorization.

451500542064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1564 counting only the distinct ones).

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

The spelling of 451500542064 in words is "four hundred fifty-one billion, five hundred million, five hundred forty-two thousand, sixty-four".