11345961264 has 160 divisors (see below), whose sum is σ = 33834620160. Its totient is φ = 3240115200.

The previous prime is 11345961229. The next prime is 11345961269. The reversal of 11345961264 is 46216954311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11345961269) 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, 1973434 + ... + 1979174.

It is an arithmetic number, because the mean of its divisors is an integer number (211466376).

Almost surely, 2^11345961264 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 11345961264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917310080).

11345961264 is an abundant number, since it is smaller than the sum of its proper divisors (22488658896).

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

11345961264 is a wasteful number, since it uses less digits than its factorization.

11345961264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5979 (or 5973 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The spelling of 11345961264 in words is "eleven billion, three hundred forty-five million, nine hundred sixty-one thousand, two hundred sixty-four".