11346465040 has 160 divisors (see below), whose sum is σ = 28732910976. Its totient is φ = 4150272000.

The previous prime is 11346465017. The next prime is 11346465059. The reversal of 11346465040 is 4056464311.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11346464987 and 11346465005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14678094 + ... + 14678866.

Almost surely, 2^11346465040 is an apocalyptic number.

11346465040 is a gapful number since it is divisible by the number (10) 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 11346465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366455488).

11346465040 is an abundant number, since it is smaller than the sum of its proper divisors (17386445936).

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

11346465040 is a wasteful number, since it uses less digits than its factorization.

11346465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 11346465040 in words is "eleven billion, three hundred forty-six million, four hundred sixty-five thousand, forty".