1157848011684 has 384 divisors, whose sum is σ = 3894620979200. Its totient is φ = 288877155840.

The previous prime is 1157848011667. The next prime is 1157848011701. The reversal of 1157848011684 is 4861108487511.

It is a happy number.

1157848011684 is a `hidden beast` number, since 1 + 1 + 5 + 78 + 480 + 1 + 16 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (1157848011667) and next prime (1157848011701).

It is a super-2 number, since 2×1157848011684² (a number of 25 digits) contains 22 as substring.

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 1157848011684.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141352029 + ... + 141360219.

Almost surely, 2^{1157848011684} is an apocalyptic number.

1157848011684 is a gapful number since it is divisible by the number (14) 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 1157848011684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947310489600).

1157848011684 is an abundant number, since it is smaller than the sum of its proper divisors (2736772967516).

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

1157848011684 is a wasteful number, since it uses less digits than its factorization.

1157848011684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9000 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1157848011684 in words is "one trillion, one hundred fifty-seven billion, eight hundred forty-eight million, eleven thousand, six hundred eighty-four".