10466590474368 has 576 divisors, whose sum is σ = 35315840664000. Its totient is φ = 2966667669504.

The previous prime is 10466590474279. The next prime is 10466590474399. The reversal of 10466590474368 is 86347409566401.

10466590474368 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 6 + 590 + 4 + 7 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4459560171 + ... + 4459562517.

It is an arithmetic number, because the mean of its divisors is an integer number (61312223375).

Almost surely, 2^{10466590474368} is an apocalyptic number.

10466590474368 is a gapful number since it is divisible by the number (18) 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 10466590474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657920332000).

10466590474368 is an abundant number, since it is smaller than the sum of its proper divisors (24849250189632).

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

10466590474368 is a wasteful number, since it uses less digits than its factorization.

10466590474368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 10466590474368 in words is "ten trillion, four hundred sixty-six billion, five hundred ninety million, four hundred seventy-four thousand, three hundred sixty-eight".