11720849418432 has 1344 divisors, whose sum is σ = 46202141905920. Its totient is φ = 2852211916800.

The previous prime is 11720849418401. The next prime is 11720849418463. The reversal of 11720849418432 is 23481494802711.

It is a happy number.

11720849418432 is a `hidden beast` number, since 1 + 1 + 72 + 0 + 8 + 494 + 1 + 84 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11720849418401) and next prime (11720849418463).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×11720849418432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4906172694 + ... + 4906175082.

It is an arithmetic number, because the mean of its divisors is an integer number (34376593680).

Almost surely, 2^{11720849418432} is an apocalyptic number.

11720849418432 is a gapful number since it is divisible by the number (12) 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 11720849418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23101070952960).

11720849418432 is an abundant number, since it is smaller than the sum of its proper divisors (34481292487488).

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

11720849418432 is a wasteful number, since it uses less digits than its factorization.

11720849418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 11720849418432 in words is "eleven trillion, seven hundred twenty billion, eight hundred forty-nine million, four hundred eighteen thousand, four hundred thirty-two".