46998826313761 has 27 divisors (see below), whose sum is σ = 56040439656627. Its totient is φ = 39300509072160.

The previous prime is 46998826313723. The next prime is 46998826313807. The reversal of 46998826313761 is 16731362889964.

It is a happy number.

The square root of 46998826313761 is 6855569.

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

It can be written as a sum of positive squares in only one way, i.e., 2264666824161 + 44734159489600 = 1504881^2 + 6688360^2 .

It is not a de Polignac number, because 46998826313761 - 2⁹ = 46998826313249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46998826313701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1967536360 + ... + 1967560246.

Almost surely, 2^{46998826313761} is an apocalyptic number.

46998826313761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

46998826313761 is the 6855569-th square number.

46998826313761 is the 3427785-th centered octagonal number.

It is an amenable number.

46998826313761 is a deficient number, since it is larger than the sum of its proper divisors (9041613342866).

46998826313761 is an frugal number, since it uses more digits than its factorization.

46998826313761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47870 (or 23935 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 73.

The spelling of 46998826313761 in words is "forty-six trillion, nine hundred ninety-eight billion, eight hundred twenty-six million, three hundred thirteen thousand, seven hundred sixty-one".