21994262346000 has 1920 divisors, whose sum is σ = 88662942351360. Its totient is φ = 4592160768000.

The previous prime is 21994262345989. The next prime is 21994262346011. The reversal of 21994262346000 is 64326249912.

It is an interprime number because it is at equal distance from previous prime (21994262345989) and next prime (21994262346011).

It is a super-2 number, since 2×21994262346000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115153205905 + ... + 115153206095.

It is an arithmetic number, because the mean of its divisors is an integer number (46178615808).

Almost surely, 2^{21994262346000} is an apocalyptic number.

21994262346000 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 21994262346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44331471175680).

21994262346000 is an abundant number, since it is smaller than the sum of its proper divisors (66668680005360).

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

21994262346000 is a wasteful number, since it uses less digits than its factorization.

21994262346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 21994262346000 in words is "twenty-one trillion, nine hundred ninety-four billion, two hundred sixty-two million, three hundred forty-six thousand".