1008997011456 has 156 divisors (see below), whose sum is σ = 3129569706672. Its totient is φ = 288284688384.

The previous prime is 1008997011419. The next prime is 1008997011461. The reversal of 1008997011456 is 6541107998001.

It is a junction number, because it is equal to n+sod(n) for n = 1008997011399 and 1008997011408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235770 + ... + 1439993.

Almost surely, 2^{1008997011456} is an apocalyptic number.

1008997011456 is a gapful number since it is divisible by the number (16) 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 1008997011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564784853336).

1008997011456 is an abundant number, since it is smaller than the sum of its proper divisors (2120572695216).

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

1008997011456 is an equidigital number, since it uses as much as digits as its factorization.

1008997011456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675804 (or 1675775 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 51.

The spelling of 1008997011456 in words is "one trillion, eight billion, nine hundred ninety-seven million, eleven thousand, four hundred fifty-six".