11738469462720 has 2688 divisors, whose sum is σ = 52140814387200. Its totient is φ = 2221432012800.

The previous prime is 11738469462703. The next prime is 11738469462739. The reversal of 11738469462720 is 2726496483711.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67852424554 + ... + 67852424726.

It is an arithmetic number, because the mean of its divisors is an integer number (19397624400).

Almost surely, 2^{11738469462720} is an apocalyptic number.

11738469462720 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 11738469462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070407193600).

11738469462720 is an abundant number, since it is smaller than the sum of its proper divisors (40402344924480).

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

11738469462720 is a wasteful number, since it uses less digits than its factorization.

11738469462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 11738469462720 in words is "eleven trillion, seven hundred thirty-eight billion, four hundred sixty-nine million, four hundred sixty-two thousand, seven hundred twenty".