10345414336620 has 192 divisors, whose sum is σ = 31841579976192. Its totient is φ = 2488860928000.

The previous prime is 10345414336591. The next prime is 10345414336633. The reversal of 10345414336620 is 2663341454301.

10345414336620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304788850 + ... + 304822790.

It is an arithmetic number, because the mean of its divisors is an integer number (165841562376).

Almost surely, 2^{10345414336620} is an apocalyptic number.

10345414336620 is a gapful number since it is divisible by the number (10) 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 10345414336620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920789988096).

10345414336620 is an abundant number, since it is smaller than the sum of its proper divisors (21496165639572).

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

10345414336620 is a wasteful number, since it uses less digits than its factorization.

10345414336620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37472 (or 37470 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 10345414336620 in words is "ten trillion, three hundred forty-five billion, four hundred fourteen million, three hundred thirty-six thousand, six hundred twenty".