1157354016 has 192 divisors, whose sum is σ = 3959601408. Its totient is φ = 287244288.

The previous prime is 1157353961. The next prime is 1157354017. The reversal of 1157354016 is 6104537511.

It is not an unprimeable number, because it can be changed into a prime (1157354017) 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, 144616 + ... + 152408.

It is an arithmetic number, because the mean of its divisors is an integer number (20622924).

Almost surely, 2^1157354016 is an apocalyptic number.

1157354016 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 1157354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979800704).

1157354016 is an abundant number, since it is smaller than the sum of its proper divisors (2802247392).

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

1157354016 is a wasteful number, since it uses less digits than its factorization.

1157354016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 1157354016 is about 34019.9061727101. The cubic root of 1157354016 is about 1049.9180634475.

The spelling of 1157354016 in words is "one billion, one hundred fifty-seven million, three hundred fifty-four thousand, sixteen".