981452160000 has 1760 divisors, whose sum is σ = 4157661372480. Its totient is φ = 226492416000.

The previous prime is 981452159993. The next prime is 981452160041. The reversal of 981452160000 is 61254189.

981452160000 is a `hidden beast` number, since 9 + 8 + 1 + 45 + 2 + 1 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 3818879872 + ... + 3818880128.

It is an arithmetic number, because the mean of its divisors is an integer number (2362307598).

Almost surely, 2^981452160000 is an apocalyptic number.

981452160000 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 981452160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078830686240).

981452160000 is an abundant number, since it is smaller than the sum of its proper divisors (3176209212480).

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

981452160000 is a wasteful number, since it uses less digits than its factorization.

981452160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 981452160000 in words is "nine hundred eighty-one billion, four hundred fifty-two million, one hundred sixty thousand".