19114240772352 has 864 divisors, whose sum is σ = 62866136019456. Its totient is φ = 5092319232000.

The previous prime is 19114240772323. The next prime is 19114240772383. The reversal of 19114240772352 is 25327704241191.

It is a super-2 number, since 2×19114240772352² (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 95 ways as a sum of consecutive naturals, for example, 3266830227 + ... + 3266836077.

It is an arithmetic number, because the mean of its divisors is an integer number (72761731504).

Almost surely, 2^{19114240772352} is an apocalyptic number.

19114240772352 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 19114240772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31433068009728).

19114240772352 is an abundant number, since it is smaller than the sum of its proper divisors (43751895247104).

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

19114240772352 is a wasteful number, since it uses less digits than its factorization.

19114240772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 19114240772352 in words is "nineteen trillion, one hundred fourteen billion, two hundred forty million, seven hundred seventy-two thousand, three hundred fifty-two".