11456467431000 has 256 divisors, whose sum is σ = 36017968896000. Its totient is φ = 3031677619200.

The previous prime is 11456467430959. The next prime is 11456467431061. The reversal of 11456467431000 is 13476465411.

It is a super-2 number, since 2×11456467431000² (a number of 27 digits) contains 22 as substring.

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, 1153834036 + ... + 1153843964.

It is an arithmetic number, because the mean of its divisors is an integer number (140695191000).

Almost surely, 2^{11456467431000} is an apocalyptic number.

11456467431000 is a gapful number since it is divisible by the number (10) 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 11456467431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008984448000).

11456467431000 is an abundant number, since it is smaller than the sum of its proper divisors (24561501465000).

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

11456467431000 is a wasteful number, since it uses less digits than its factorization.

11456467431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12859 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 11456467431000 in words is "eleven trillion, four hundred fifty-six billion, four hundred sixty-seven million, four hundred thirty-one thousand".