10129339237248 has 768 divisors, whose sum is σ = 38537983111680. Its totient is φ = 2472394752000.

The previous prime is 10129339237223. The next prime is 10129339237249. The reversal of 10129339237248 is 84273293392101.

10129339237248 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 9 + 3 + 392 + 3 + 7 + 248 = 666.

It is a super-2 number, since 2×10129339237248² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10129339237194 and 10129339237203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129339237249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1042001028 + ... + 1042010748.

It is an arithmetic number, because the mean of its divisors is an integer number (50179665510).

Almost surely, 2^{10129339237248} is an apocalyptic number.

10129339237248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129339237248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268991555840).

10129339237248 is an abundant number, since it is smaller than the sum of its proper divisors (28408643874432).

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

10129339237248 is a wasteful number, since it uses less digits than its factorization.

10129339237248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10467 (or 10452 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 10129339237248 in words is "ten trillion, one hundred twenty-nine billion, three hundred thirty-nine million, two hundred thirty-seven thousand, two hundred forty-eight".