1938148446276 has 567 divisors, whose sum is σ = 6175208395629. Its totient is φ = 530451706176.

The previous prime is 1938148446263. The next prime is 1938148446281. The reversal of 1938148446276 is 6726448418391.

The square root of 1938148446276 is 1392174.

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

1938148446276 is a `hidden beast` number, since 1 + 9 + 3 + 81 + 48 + 446 + 2 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1016318031876 + 921830414400 = 1008126^2 + 960120^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (55738368) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 15261011325 + ... + 15261011451.

Almost surely, 2^{1938148446276} is an apocalyptic number.

1938148446276 is the 1392174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938148446276

1938148446276 is an abundant number, since it is smaller than the sum of its proper divisors (4237059949353).

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

1938148446276 is an equidigital number, since it uses as much as digits as its factorization.

1938148446276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 168 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1938148446276 in words is "one trillion, nine hundred thirty-eight billion, one hundred forty-eight million, four hundred forty-six thousand, two hundred seventy-six".