11453653000152 has 256 divisors, whose sum is σ = 35072018150400. Its totient is φ = 3434446080000.

The previous prime is 11453653000117. The next prime is 11453653000213. The reversal of 11453653000152 is 25100035635411.

11453653000152 is a `hidden beast` number, since 1 + 1 + 45 + 36 + 530 + 0 + 0 + 1 + 52 = 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 63 ways as a sum of consecutive naturals, for example, 443222752 + ... + 443248592.

It is an arithmetic number, because the mean of its divisors is an integer number (137000070900).

Almost surely, 2^{11453653000152} is an apocalyptic number.

11453653000152 is a gapful number since it is divisible by the number (12) 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 11453653000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17536009075200).

11453653000152 is an abundant number, since it is smaller than the sum of its proper divisors (23618365150248).

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

11453653000152 is a wasteful number, since it uses less digits than its factorization.

11453653000152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27815 (or 27805 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 11453653000152 its reverse (25100035635411), we get a palindrome (36553688635563).

The spelling of 11453653000152 in words is "eleven trillion, four hundred fifty-three billion, six hundred fifty-three million, one hundred fifty-two", and thus it is an aban number.