1948071411000 has 1024 divisors, whose sum is σ = 8279295897600. Its totient is φ = 416959488000.

The previous prime is 1948071410993. The next prime is 1948071411001. The reversal of 1948071411000 is 1141708491.

It is a happy number.

1948071411000 is a `hidden beast` number, since 1 + 9 + 480 + 71 + 4 + 1 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948071411001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88792032 + ... + 88813968.

It is an arithmetic number, because the mean of its divisors is an integer number (8085249900).

Almost surely, 2^{1948071411000} is an apocalyptic number.

1948071411000 is a gapful number since it is divisible by the number (10) 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 1948071411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139647948800).

1948071411000 is an abundant number, since it is smaller than the sum of its proper divisors (6331224486600).

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

1948071411000 is a wasteful number, since it uses less digits than its factorization.

1948071411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22014 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 1948071411000 in words is "one trillion, nine hundred forty-eight billion, seventy-one million, four hundred eleven thousand".