11353401234000 has 1920 divisors, whose sum is σ = 49172788454400. Its totient is φ = 2494640332800.

The previous prime is 11353401233981. The next prime is 11353401234031. The reversal of 11353401234000 is 43210435311.

It is a happy number.

11353401234000 is a `hidden beast` number, since 1 + 1 + 3 + 534 + 0 + 123 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 8713277349 + ... + 8713278651.

It is an arithmetic number, because the mean of its divisors is an integer number (25610827320).

Almost surely, 2^{11353401234000} is an apocalyptic number.

11353401234000 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 11353401234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24586394227200).

11353401234000 is an abundant number, since it is smaller than the sum of its proper divisors (37819387220400).

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

11353401234000 is a wasteful number, since it uses less digits than its factorization.

11353401234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 11353401234000 its reverse (43210435311), we get a palindrome (11396611669311).

The spelling of 11353401234000 in words is "eleven trillion, three hundred fifty-three billion, four hundred one million, two hundred thirty-four thousand".