11414515225620 has 192 divisors, whose sum is σ = 35166589194240. Its totient is φ = 2749194086400.

The previous prime is 11414515225591. The next prime is 11414515225627. The reversal of 11414515225620 is 2652251541411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414515225627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8459766 + ... + 9715794.

It is an arithmetic number, because the mean of its divisors is an integer number (183159318720).

Almost surely, 2^{11414515225620} is an apocalyptic number.

11414515225620 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 11414515225620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583294597120).

11414515225620 is an abundant number, since it is smaller than the sum of its proper divisors (23752073968620).

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

11414515225620 is a wasteful number, since it uses less digits than its factorization.

11414515225620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256306 (or 1256304 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 11414515225620 in words is "eleven trillion, four hundred fourteen billion, five hundred fifteen million, two hundred twenty-five thousand, six hundred twenty".