11462260992 has 288 divisors, whose sum is σ = 37731912960. Its totient is φ = 3008102400.

The previous prime is 11462260973. The next prime is 11462261003. The reversal of 11462260992 is 29906226411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28024884 + ... + 28025292.

Almost surely, 2^11462260992 is an apocalyptic number.

11462260992 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 11462260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865956480).

11462260992 is an abundant number, since it is smaller than the sum of its proper divisors (26269651968).

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

11462260992 is a wasteful number, since it uses less digits than its factorization.

11462260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11462260992 in words is "eleven billion, four hundred sixty-two million, two hundred sixty thousand, nine hundred ninety-two".