461247696000000 has 3080 divisors, whose sum is σ = 2119554371856768. Its totient is φ = 97293312000000.

The previous prime is 461247695999917. The next prime is 461247696000089. The reversal of 461247696000000 is 696742164.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 461247696000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 117935998045 + ... + 117936001955.

Almost surely, 2^{461247696000000} is an apocalyptic number.

461247696000000 is a gapful number since it is divisible by the number (40) 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 461247696000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059777185928384).

461247696000000 is an abundant number, since it is smaller than the sum of its proper divisors (1658306675856768).

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

461247696000000 is an frugal number, since it uses more digits than its factorization.

461247696000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 461247696000000 in words is "four hundred sixty-one trillion, two hundred forty-seven billion, six hundred ninety-six million", and thus it is an aban number.