1902212623872 has 960 divisors, whose sum is σ = 6515020512000. Its totient is φ = 528152002560.

The previous prime is 1902212623867. The next prime is 1902212623877. The reversal of 1902212623872 is 2783262122091.

1902212623872 is a `hidden beast` number, since 1 + 9 + 0 + 2 + 2 + 1 + 262 + 387 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1902212623867) and next prime (1902212623877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1902212623877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4236553504 + ... + 4236553952.

It is an arithmetic number, because the mean of its divisors is an integer number (6786479700).

Almost surely, 2^{1902212623872} is an apocalyptic number.

1902212623872 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 1902212623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257510256000).

1902212623872 is an abundant number, since it is smaller than the sum of its proper divisors (4612807888128).

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

1902212623872 is a wasteful number, since it uses less digits than its factorization.

1902212623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1902212623872 in words is "one trillion, nine hundred two billion, two hundred twelve million, six hundred twenty-three thousand, eight hundred seventy-two".