48267631195081 has 27 divisors (see below), whose sum is σ = 49751644213173. Its totient is φ = 46827200938560.

The previous prime is 48267631195033. The next prime is 48267631195129. The reversal of 48267631195081 is 18059113676284.

The square root of 48267631195081 is 6947491.

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

It is an interprime number because it is at equal distance from previous prime (48267631195033) and next prime (48267631195129).

It can be written as a sum of positive squares in 4 ways, for example, as 33091152705081 + 15176478490000 = 5752491^2 + 3895700^2 .

It is not a de Polignac number, because 48267631195081 - 2²⁷ = 48267496977353 is a prime.

It is a super-2 number, since 2×48267631195081² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48267631195031) 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, 68078463955 + ... + 68078464663.

It is a 1-persistent number, because it is pandigital, but 2⋅48267631195081 = 96535262390162 is not.

Almost surely, 2^{48267631195081} is an apocalyptic number.

48267631195081 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

48267631195081 is the 6947491-st square number.

48267631195081 is the 3473746-th centered octagonal number.

It is an amenable number.

48267631195081 is a deficient number, since it is larger than the sum of its proper divisors (1484013018092).

48267631195081 is an frugal number, since it uses more digits than its factorization.

48267631195081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 48267631195081 in words is "forty-eight trillion, two hundred sixty-seven billion, six hundred thirty-one million, one hundred ninety-five thousand, eighty-one".