10946906744040 has 160 divisors (see below), whose sum is σ = 37019500325280. Its totient is φ = 2901265941888.

The previous prime is 10946906743979. The next prime is 10946906744057. The reversal of 10946906744040 is 4044760964901.

10946906744040 is a `hidden beast` number, since 1 + 0 + 94 + 6 + 90 + 67 + 4 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9835914 + ... + 10892153.

It is an arithmetic number, because the mean of its divisors is an integer number (231371877033).

Almost surely, 2^{10946906744040} is an apocalyptic number.

10946906744040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10946906744040 is an abundant number, since it is smaller than the sum of its proper divisors (26072593581240).

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

10946906744040 is a wasteful number, since it uses less digits than its factorization.

10946906744040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728253 (or 20728240 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10946906744040 in words is "ten trillion, nine hundred forty-six billion, nine hundred six million, seven hundred forty-four thousand, forty".