981463392000 has 3456 divisors, whose sum is σ = 4809795594240. Its totient is φ = 193491763200.

The previous prime is 981463391941. The next prime is 981463392037. The reversal of 981463392000 is 293364189.

It is a happy number.

981463392000 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 633 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×981463392000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13444703964 + ... + 13444704036.

Almost surely, 2^981463392000 is an apocalyptic number.

981463392000 is a gapful number since it is divisible by the number (90) 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 981463392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404897797120).

981463392000 is an abundant number, since it is smaller than the sum of its proper divisors (3828332202240).

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

981463392000 is a wasteful number, since it uses less digits than its factorization.

981463392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 981463392000 in words is "nine hundred eighty-one billion, four hundred sixty-three million, three hundred ninety-two thousand".