451509999696 has 480 divisors, whose sum is σ = 1536724500480. Its totient is φ = 120976644096.

The previous prime is 451509999679. The next prime is 451509999727. The reversal of 451509999696 is 696999905154.

451509999696 is a `hidden beast` number, since 4 + 51 + 509 + 9 + 9 + 9 + 69 + 6 = 666.

It is a super-3 number, since 3×451509999696³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 262047891 + ... + 262049613.

It is an arithmetic number, because the mean of its divisors is an integer number (3201509376).

Almost surely, 2^451509999696 is an apocalyptic number.

451509999696 is a gapful number since it is divisible by the number (46) 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 451509999696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768362250240).

451509999696 is an abundant number, since it is smaller than the sum of its proper divisors (1085214500784).

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

451509999696 is a wasteful number, since it uses less digits than its factorization.

451509999696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 212576400, while the sum is 72.

The spelling of 451509999696 in words is "four hundred fifty-one billion, five hundred nine million, nine hundred ninety-nine thousand, six hundred ninety-six".