11229765624 has 576 divisors, whose sum is σ = 41538631680. Its totient is φ = 2659392000.

The previous prime is 11229765619. The next prime is 11229765637. The reversal of 11229765624 is 42656792211.

11229765624 is a `hidden beast` number, since 1 + 12 + 2 + 9 + 7 + 6 + 5 + 624 = 666.

It is a super-2 number, since 2×11229765624² (a number of 21 digits) contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 11229765624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62042814 + ... + 62042994.

It is an arithmetic number, because the mean of its divisors is an integer number (72115680).

Almost surely, 2^11229765624 is an apocalyptic number.

11229765624 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 11229765624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769315840).

11229765624 is an abundant number, since it is smaller than the sum of its proper divisors (30308866056).

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

11229765624 is a wasteful number, since it uses less digits than its factorization.

11229765624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 11229765624 in words is "eleven billion, two hundred twenty-nine million, seven hundred sixty-five thousand, six hundred twenty-four".