1157378544864 has 96 divisors (see below), whose sum is σ = 3553355232000. Its totient is φ = 365487956352.

The previous prime is 1157378544853. The next prime is 1157378544869. The reversal of 1157378544864 is 4684458737511.

1157378544864 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 3 + 7 + 8 + 544 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1157378544864³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157378544869) 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 15 ways as a sum of consecutive naturals, for example, 35235124 + ... + 35267955.

It is an arithmetic number, because the mean of its divisors is an integer number (37014117000).

Almost surely, 2^{1157378544864} is an apocalyptic number.

It is an amenable number.

1157378544864 is an abundant number, since it is smaller than the sum of its proper divisors (2395976687136).

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

1157378544864 is a wasteful number, since it uses less digits than its factorization.

1157378544864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70503117 (or 70503103 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 1157378544864 in words is "one trillion, one hundred fifty-seven billion, three hundred seventy-eight million, five hundred forty-four thousand, eight hundred sixty-four".