1157148856353 has 64 divisors (see below), whose sum is σ = 1921179975680. Its totient is φ = 604564948800.

The previous prime is 1157148856301. The next prime is 1157148856393. The reversal of 1157148856353 is 3536588417511.

It is not a de Polignac number, because 1157148856353 - 2⁶ = 1157148856289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 1157148856293 and 1157148856302.

It is not an unprimeable number, because it can be changed into a prime (1157148856393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4411968 + ... + 4666878.

It is an arithmetic number, because the mean of its divisors is an integer number (30018437120).

Almost surely, 2^{1157148856353} is an apocalyptic number.

It is an amenable number.

1157148856353 is a deficient number, since it is larger than the sum of its proper divisors (764031119327).

1157148856353 is a wasteful number, since it uses less digits than its factorization.

1157148856353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255338.

The product of its digits is 12096000, while the sum is 57.

The spelling of 1157148856353 in words is "one trillion, one hundred fifty-seven billion, one hundred forty-eight million, eight hundred fifty-six thousand, three hundred fifty-three".