11296693632 has 384 divisors, whose sum is σ = 36569594880. Its totient is φ = 3077222400.

The previous prime is 11296693543. The next prime is 11296693643. The reversal of 11296693632 is 23639669211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62412582 + ... + 62412762.

It is an arithmetic number, because the mean of its divisors is an integer number (95233320).

Almost surely, 2^11296693632 is an apocalyptic number.

11296693632 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 11296693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284797440).

11296693632 is an abundant number, since it is smaller than the sum of its proper divisors (25272901248).

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

11296693632 is a wasteful number, since it uses less digits than its factorization.

11296693632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The spelling of 11296693632 in words is "eleven billion, two hundred ninety-six million, six hundred ninety-three thousand, six hundred thirty-two".