10246354921872 has 100 divisors (see below), whose sum is σ = 29668644104220. Its totient is φ = 3413986659072.

The previous prime is 10246354921823. The next prime is 10246354921883. The reversal of 10246354921872 is 27812945364201.

It is a happy number.

10246354921872 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 3 + 549 + 21 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6103192375296 + 4143162546576 = 2470464^2 + 2035476^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1329154 + ... + 4717982.

It is a 1-persistent number, because it is pandigital, but 2⋅10246354921872 = 20492709843744 is not.

Almost surely, 2^{10246354921872} is an apocalyptic number.

10246354921872 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 10246354921872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834322052110).

10246354921872 is an abundant number, since it is smaller than the sum of its proper divisors (19422289182348).

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

10246354921872 is a wasteful number, since it uses less digits than its factorization.

10246354921872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391182 (or 3391167 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 10246354921872 in words is "ten trillion, two hundred forty-six billion, three hundred fifty-four million, nine hundred twenty-one thousand, eight hundred seventy-two".