10048381246692 has 96 divisors (see below), whose sum is σ = 26246058330240. Its totient is φ = 3324436093440.

The previous prime is 10048381246691. The next prime is 10048381246693. The reversal of 10048381246692 is 29664218384001.

10048381246692 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 83 + 8 + 12 + 466 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (10048381246691) and next prime (10048381246693).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10048381246691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90066688 + ... + 90178184.

It is an arithmetic number, because the mean of its divisors is an integer number (273396440940).

Almost surely, 2^{10048381246692} is an apocalyptic number.

10048381246692 is a gapful number since it is divisible by the number (12) 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 10048381246692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123029165120).

10048381246692 is an abundant number, since it is smaller than the sum of its proper divisors (16197677083548).

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

10048381246692 is a wasteful number, since it uses less digits than its factorization.

10048381246692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117738 (or 117730 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10048381246692 in words is "ten trillion, forty-eight billion, three hundred eighty-one million, two hundred forty-six thousand, six hundred ninety-two".