981815440464 has 160 divisors (see below), whose sum is σ = 2829487988480. Its totient is φ = 325960588800.

The previous prime is 981815440453. The next prime is 981815440469. The reversal of 981815440464 is 464044518189.

981815440464 is a `hidden beast` number, since 9 + 8 + 181 + 54 + 404 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 981815440464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981815440469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120213309 + ... + 120221475.

It is an arithmetic number, because the mean of its divisors is an integer number (17684299928).

Almost surely, 2^981815440464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981815440464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414743994240).

981815440464 is an abundant number, since it is smaller than the sum of its proper divisors (1847672548016).

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

981815440464 is a wasteful number, since it uses less digits than its factorization.

981815440464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9266 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 981815440464 in words is "nine hundred eighty-one billion, eight hundred fifteen million, four hundred forty thousand, four hundred sixty-four".