10134463417488 has 320 divisors, whose sum is σ = 29982930969600. Its totient is φ = 3275991613440.

The previous prime is 10134463417409. The next prime is 10134463417499. The reversal of 10134463417488 is 88471436443101.

10134463417488 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 463 + 4 + 174 + 8 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 2023248328 + ... + 2023253336.

It is an arithmetic number, because the mean of its divisors is an integer number (93696659280).

Almost surely, 2^{10134463417488} is an apocalyptic number.

10134463417488 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 10134463417488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991465484800).

10134463417488 is an abundant number, since it is smaller than the sum of its proper divisors (19848467552112).

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

10134463417488 is a wasteful number, since it uses less digits than its factorization.

10134463417488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10134463417488 in words is "ten trillion, one hundred thirty-four billion, four hundred sixty-three million, four hundred seventeen thousand, four hundred eighty-eight".