1157354496 has 132 divisors (see below), whose sum is σ = 3450488704. Its totient is φ = 373248000.

The previous prime is 1157354431. The next prime is 1157354501. The reversal of 1157354496 is 6944537511.

1157354496 is a `hidden beast` number, since 1 + 15 + 7 + 3 + 544 + 96 = 666.

It is a super-2 number, since 2×1157354496² = 2678938858822828032, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 283671 + ... + 287721.

Almost surely, 2^1157354496 is an apocalyptic number.

1157354496 is a gapful number since it is divisible by the number (16) 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 1157354496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725244352).

1157354496 is an abundant number, since it is smaller than the sum of its proper divisors (2293134208).

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

1157354496 is a wasteful number, since it uses less digits than its factorization.

1157354496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4087 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1157354496 is about 34019.9132274026. The cubic root of 1157354496 is about 1049.9182085949.

The spelling of 1157354496 in words is "one billion, one hundred fifty-seven million, three hundred fifty-four thousand, four hundred ninety-six".