10071601462416 has 160 divisors (see below), whose sum is σ = 30227704053120. Its totient is φ = 2861631332352.

The previous prime is 10071601462409. The next prime is 10071601462451. The reversal of 10071601462416 is 61426410617001.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8394706 + ... + 9519153.

It is an arithmetic number, because the mean of its divisors is an integer number (188923150332).

Almost surely, 2^{10071601462416} is an apocalyptic number.

10071601462416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10071601462416 is an abundant number, since it is smaller than the sum of its proper divisors (20156102590704).

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

10071601462416 is a wasteful number, since it uses less digits than its factorization.

10071601462416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17913953 (or 17913947 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10071601462416 in words is "ten trillion, seventy-one billion, six hundred one million, four hundred sixty-two thousand, four hundred sixteen".