11311922489616 has 320 divisors, whose sum is σ = 37796095180800. Its totient is φ = 3172209868800.

The previous prime is 11311922489611. The next prime is 11311922489669. The reversal of 11311922489616 is 61698422911311.

11311922489616 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 19 + 2 + 2 + 4 + 8 + 9 + 616 = 666.

It is a super-2 number, since 2×11311922489616² (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 a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11311922489611) 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, 114315201 + ... + 114414111.

It is an arithmetic number, because the mean of its divisors is an integer number (118112797440).

Almost surely, 2^{11311922489616} is an apocalyptic number.

11311922489616 is a gapful number since it is divisible by the number (16) 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 11311922489616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898047590400).

11311922489616 is an abundant number, since it is smaller than the sum of its proper divisors (26484172691184).

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

11311922489616 is a wasteful number, since it uses less digits than its factorization.

11311922489616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99635 (or 99623 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 11311922489616 in words is "eleven trillion, three hundred eleven billion, nine hundred twenty-two million, four hundred eighty-nine thousand, six hundred sixteen".