12738746848950 has 192 divisors, whose sum is σ = 36657000230400. Its totient is φ = 3246776438400.

The previous prime is 12738746848931. The next prime is 12738746848969. The reversal of 12738746848950 is 5984864783721.

It is a happy number.

12738746848950 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 87 + 4 + 68 + 489 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12738746848931) and next prime (12738746848969).

It is a super-2 number, since 2×12738746848950² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39926656 + ... + 40244444.

It is an arithmetic number, because the mean of its divisors is an integer number (190921876200).

It is a 1-persistent number, because it is pandigital, but 2⋅12738746848950 = 25477493697900 is not.

Almost surely, 2^{12738746848950} is an apocalyptic number.

12738746848950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12738746848950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328500115200).

12738746848950 is an abundant number, since it is smaller than the sum of its proper divisors (23918253381450).

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

12738746848950 is a wasteful number, since it uses less digits than its factorization.

12738746848950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319124 (or 319113 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 12738746848950 in words is "twelve trillion, seven hundred thirty-eight billion, seven hundred forty-six million, eight hundred forty-eight thousand, nine hundred fifty".