1135416772 has 48 divisors (see below), whose sum is σ = 2337003648. Its totient is φ = 472538880.

The previous prime is 1135416769. The next prime is 1135416797. The reversal of 1135416772 is 2776145311.

It is a super-2 number, since 2×1135416772² = 2578342492277799968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258418 + ... + 262774.

It is an arithmetic number, because the mean of its divisors is an integer number (48687576).

Almost surely, 2^1135416772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135416772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168501824).

1135416772 is an abundant number, since it is smaller than the sum of its proper divisors (1201586876).

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

1135416772 is a wasteful number, since it uses less digits than its factorization.

1135416772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4634 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The square root of 1135416772 is about 33695.9459282567. The cubic root of 1135416772 is about 1043.2420929125.

The spelling of 1135416772 in words is "one billion, one hundred thirty-five million, four hundred sixteen thousand, seven hundred seventy-two".