11400687948 has 54 divisors (see below), whose sum is σ = 28817442612. Its totient is φ = 3506424480.

The previous prime is 11400687929. The next prime is 11400687967. The reversal of 11400687948 is 84978600411.

It is an interprime number because it is at equal distance from previous prime (11400687929) and next prime (11400687967).

It is a junction number, because it is equal to n+sod(n) for n = 11400687897 and 11400687906.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4807203 + ... + 4809573.

Almost surely, 2^11400687948 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 11400687948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408721306).

11400687948 is an abundant number, since it is smaller than the sum of its proper divisors (17416754664).

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

11400687948 is an equidigital number, since it uses as much as digits as its factorization.

11400687948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

Multiplying 11400687948 by its sum of digits (48), we get a square (547233021504 = 739752²).

The spelling of 11400687948 in words is "eleven billion, four hundred million, six hundred eighty-seven thousand, nine hundred forty-eight".