11111352284970 has 768 divisors, whose sum is σ = 36434379571200. Its totient is φ = 2399362560000.

The previous prime is 11111352284951. The next prime is 11111352284983. The reversal of 11111352284970 is 7948225311111.

11111352284970 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 13 + 522 + 8 + 49 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3653846650 + ... + 3653849690.

It is an arithmetic number, because the mean of its divisors is an integer number (47440598400).

Almost surely, 2^{11111352284970} is an apocalyptic number.

11111352284970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111352284970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217189785600).

11111352284970 is an abundant number, since it is smaller than the sum of its proper divisors (25323027286230).

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

11111352284970 is a wasteful number, since it uses less digits than its factorization.

11111352284970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11111352284970 in words is "eleven trillion, one hundred eleven billion, three hundred fifty-two million, two hundred eighty-four thousand, nine hundred seventy".