10146747676816 has 45 divisors (see below), whose sum is σ = 19813799762643. Its totient is φ = 5033817590880.

The previous prime is 10146747676811. The next prime is 10146747676837. The reversal of 10146747676816 is 61867674764101.

The square root of 10146747676816 is 3185396.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10146747676811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1669144465 + ... + 1669150543.

Almost surely, 2^{10146747676816} is an apocalyptic number.

10146747676816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10146747676816 is the 3185396-th square number.

It is an amenable number.

10146747676816 is a deficient number, since it is larger than the sum of its proper divisors (9667052085827).

10146747676816 is an frugal number, since it uses more digits than its factorization.

10146747676816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12428 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 64.

Multiplying 10146747676816 by its sum of digits (64), we get a square (649391851316224 = 25483168²).

The spelling of 10146747676816 in words is "ten trillion, one hundred forty-six billion, seven hundred forty-seven million, six hundred seventy-six thousand, eight hundred sixteen".