20344046469120 has 2400 divisors, whose sum is σ = 84698934921216. Its totient is φ = 4643802316800.

The previous prime is 20344046469101. The next prime is 20344046469139. The reversal of 20344046469120 is 2196464044302.

20344046469120 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 0 + 464 + 69 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (20344046469101) and next prime (20344046469139).

It is a super-2 number, since 2×20344046469120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 549839093742 + ... + 549839093778.

Almost surely, 2^{20344046469120} is an apocalyptic number.

20344046469120 is a gapful number since it is divisible by the number (20) 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 20344046469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42349467460608).

20344046469120 is an abundant number, since it is smaller than the sum of its proper divisors (64354888452096).

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

20344046469120 is an frugal number, since it uses more digits than its factorization.

20344046469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 20344046469120 in words is "twenty trillion, three hundred forty-four billion, forty-six million, four hundred sixty-nine thousand, one hundred twenty".