1187357517456 has 160 divisors (see below), whose sum is σ = 3395431249920. Its totient is φ = 354520396800.

The previous prime is 1187357517427. The next prime is 1187357517469. The reversal of 1187357517456 is 6547157537811.

It is a self number, because there is not a number n which added to its sum of digits gives 1187357517456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39723925 + ... + 39753803.

It is an arithmetic number, because the mean of its divisors is an integer number (21221445312).

Almost surely, 2^{1187357517456} is an apocalyptic number.

1187357517456 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 1187357517456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697715624960).

1187357517456 is an abundant number, since it is smaller than the sum of its proper divisors (2208073732464).

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

1187357517456 is a wasteful number, since it uses less digits than its factorization.

1187357517456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005 (or 30999 counting only the distinct ones).

The product of its digits is 24696000, while the sum is 60.

The spelling of 1187357517456 in words is "one trillion, one hundred eighty-seven billion, three hundred fifty-seven million, five hundred seventeen thousand, four hundred fifty-six".