1157614424064 has 312 divisors, whose sum is σ = 3833326665792. Its totient is φ = 329723412480.

The previous prime is 1157614424059. The next prime is 1157614424089. The reversal of 1157614424064 is 4604244167511.

1157614424064 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 614 + 4 + 24 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85407112 + ... + 85420664.

It is an arithmetic number, because the mean of its divisors is an integer number (12286303416).

Almost surely, 2^{1157614424064} is an apocalyptic number.

1157614424064 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 1157614424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916663332896).

1157614424064 is an abundant number, since it is smaller than the sum of its proper divisors (2675712241728).

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

1157614424064 is a wasteful number, since it uses less digits than its factorization.

1157614424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1157614424064 in words is "one trillion, one hundred fifty-seven billion, six hundred fourteen million, four hundred twenty-four thousand, sixty-four".