11503135644 has 192 divisors, whose sum is σ = 36918346752. Its totient is φ = 2690611200.

The previous prime is 11503135639. The next prime is 11503135661. The reversal of 11503135644 is 44653130511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 480814 + ... + 504170.

It is an arithmetic number, because the mean of its divisors is an integer number (192283056).

Almost surely, 2^11503135644 is an apocalyptic number.

11503135644 is a gapful number since it is divisible by the number (14) 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 11503135644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459173376).

11503135644 is an abundant number, since it is smaller than the sum of its proper divisors (25415211108).

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

11503135644 is a wasteful number, since it uses less digits than its factorization.

11503135644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23436 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 11503135644 in words is "eleven billion, five hundred three million, one hundred thirty-five thousand, six hundred forty-four".