1147047257088 has 440 divisors, whose sum is σ = 3715441723224. Its totient is φ = 351063244800.

The previous prime is 1147047257017. The next prime is 1147047257119. The reversal of 1147047257088 is 8807527407411.

It is a happy number.

1147047257088 is a `hidden beast` number, since 1 + 1 + 47 + 0 + 472 + 57 + 0 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9087427584 + 1137959829504 = 95328^2 + 1066752^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57802048 + ... + 57821888.

Almost surely, 2^{1147047257088} is an apocalyptic number.

1147047257088 is a gapful number since it is divisible by the number (18) 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 1147047257088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857720861612).

1147047257088 is an abundant number, since it is smaller than the sum of its proper divisors (2568394466136).

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

1147047257088 is a wasteful number, since it uses less digits than its factorization.

1147047257088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19931 (or 19904 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 1147047257088 in words is "one trillion, one hundred forty-seven billion, forty-seven million, two hundred fifty-seven thousand, eighty-eight".