13981961448 has 384 divisors, whose sum is σ = 49349664000. Its totient is φ = 3685264128.

The previous prime is 13981961447. The next prime is 13981961473. The reversal of 13981961448 is 84416918931.

13981961448 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 19 + 614 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13981961394 and 13981961403.

It is not an unprimeable number, because it can be changed into a prime (13981961447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8667490 + ... + 8669102.

It is an arithmetic number, because the mean of its divisors is an integer number (128514750).

Almost surely, 2^13981961448 is an apocalyptic number.

13981961448 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 13981961448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24674832000).

13981961448 is an abundant number, since it is smaller than the sum of its proper divisors (35367702552).

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

13981961448 is a wasteful number, since it uses less digits than its factorization.

13981961448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1638 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 13981961448 in words is "thirteen billion, nine hundred eighty-one million, nine hundred sixty-one thousand, four hundred forty-eight".