11203407379164 has 576 divisors, whose sum is σ = 37234220728320. Its totient is φ = 2538926208000.

The previous prime is 11203407379163. The next prime is 11203407379189. The reversal of 11203407379164 is 46197370430211.

It is a super-2 number, since 2×11203407379164² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11203407379163) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1367766309 + ... + 1367774499.

It is an arithmetic number, because the mean of its divisors is an integer number (64642744320).

Almost surely, 2^{11203407379164} is an apocalyptic number.

11203407379164 is a gapful number since it is divisible by the number (14) 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 11203407379164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617110364160).

11203407379164 is an abundant number, since it is smaller than the sum of its proper divisors (26030813349156).

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

11203407379164 is a wasteful number, since it uses less digits than its factorization.

11203407379164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8722 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 11203407379164 in words is "eleven trillion, two hundred three billion, four hundred seven million, three hundred seventy-nine thousand, one hundred sixty-four".