111361290480000 has 2560 divisors, whose sum is σ = 457898705510400. Its totient is φ = 26409600000000.

The previous prime is 111361290479987. The next prime is 111361290480073. The reversal of 111361290480000 is 84092163111.

111361290480000 is a `hidden beast` number, since 1 + 1 + 1 + 361 + 290 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 423426959869 + ... + 423426960131.

It is an arithmetic number, because the mean of its divisors is an integer number (178866681840).

Almost surely, 2^{111361290480000} is an apocalyptic number.

111361290480000 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 111361290480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228949352755200).

111361290480000 is an abundant number, since it is smaller than the sum of its proper divisors (346537415030400).

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

111361290480000 is a wasteful number, since it uses less digits than its factorization.

111361290480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 111361290480000 in words is "one hundred eleven trillion, three hundred sixty-one billion, two hundred ninety million, four hundred eighty thousand".