11453200902 has 128 divisors (see below), whose sum is σ = 30271933440. Its totient is φ = 3203517600.

The previous prime is 11453200897. The next prime is 11453200907. The reversal of 11453200902 is 20900235411.

11453200902 is a `hidden beast` number, since 1 + 1 + 453 + 200 + 9 + 0 + 2 = 666.

11453200902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11453200897) and next prime (11453200907).

It is a super-2 number, since 2×11453200902² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11453200907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616327 + ... + 634637.

It is an arithmetic number, because the mean of its divisors is an integer number (236499480).

Almost surely, 2^11453200902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11453200902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135966720).

11453200902 is an abundant number, since it is smaller than the sum of its proper divisors (18818732538).

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

11453200902 is a wasteful number, since it uses less digits than its factorization.

11453200902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11453200902 in words is "eleven billion, four hundred fifty-three million, two hundred thousand, nine hundred two".