10363746245020 has 384 divisors, whose sum is σ = 26916297408000. Its totient is φ = 3271619248128.

The previous prime is 10363746244963. The next prime is 10363746245077. The reversal of 10363746245020 is 2054264736301.

It is an interprime number because it is at equal distance from previous prime (10363746244963) and next prime (10363746245077).

It is a super-3 number, since 3×10363746245020³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10230746034 + ... + 10230747046.

It is an arithmetic number, because the mean of its divisors is an integer number (70094524500).

Almost surely, 2^{10363746245020} is an apocalyptic number.

10363746245020 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 10363746245020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13458148704000).

10363746245020 is an abundant number, since it is smaller than the sum of its proper divisors (16552551162980).

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

10363746245020 is a wasteful number, since it uses less digits than its factorization.

10363746245020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 10363746245020 in words is "ten trillion, three hundred sixty-three billion, seven hundred forty-six million, two hundred forty-five thousand, twenty".