1922412145248 has 768 divisors, whose sum is σ = 7028195328000. Its totient is φ = 498845952000.

The previous prime is 1922412145231. The next prime is 1922412145249. The reversal of 1922412145248 is 8425412142291.

1922412145248 is a `hidden beast` number, since 1 + 92 + 2 + 412 + 145 + 2 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1922412145249) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388285173 + ... + 388290123.

It is an arithmetic number, because the mean of its divisors is an integer number (9151296000).

Almost surely, 2^{1922412145248} is an apocalyptic number.

1922412145248 is a gapful number since it is divisible by the number (18) 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 1922412145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514097664000).

1922412145248 is an abundant number, since it is smaller than the sum of its proper divisors (5105783182752).

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

1922412145248 is a wasteful number, since it uses less digits than its factorization.

1922412145248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5122 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 1922412145248 in words is "one trillion, nine hundred twenty-two billion, four hundred twelve million, one hundred forty-five thousand, two hundred forty-eight".