1157236416 has 224 divisors, whose sum is σ = 4023360000. Its totient is φ = 319140864.

The previous prime is 1157236411. The next prime is 1157236453. The reversal of 1157236416 is 6146327511.

1157236416 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 2 + 3 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1157236416² = 2678392245033050112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1157236411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349135 + ... + 352433.

Almost surely, 2^1157236416 is an apocalyptic number.

1157236416 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 1157236416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680000).

1157236416 is an abundant number, since it is smaller than the sum of its proper divisors (2866123584).

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

1157236416 is a wasteful number, since it uses less digits than its factorization.

1157236416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3340 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1157236416 is about 34018.1777289731. The cubic root of 1157236416 is about 1049.8825011376.

The spelling of 1157236416 in words is "one billion, one hundred fifty-seven million, two hundred thirty-six thousand, four hundred sixteen".