1948101771264 has 288 divisors, whose sum is σ = 5694450600384. Its totient is φ = 587496161280.

The previous prime is 1948101771257. The next prime is 1948101771269. The reversal of 1948101771264 is 4621771018491.

It is a happy number.

It is a super-2 number, since 2×1948101771264² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1948101771269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007811642 + ... + 1007813574.

It is an arithmetic number, because the mean of its divisors is an integer number (19772397918).

Almost surely, 2^{1948101771264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948101771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847225300192).

1948101771264 is an abundant number, since it is smaller than the sum of its proper divisors (3746348829120).

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

1948101771264 is an equidigital number, since it uses as much as digits as its factorization.

1948101771264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 1948101771264 in words is "one trillion, nine hundred forty-eight billion, one hundred one million, seven hundred seventy-one thousand, two hundred sixty-four".