11814198698400 has 576 divisors, whose sum is σ = 44491464864000. Its totient is φ = 2667113349120.

The previous prime is 11814198698383. The next prime is 11814198698417. The reversal of 11814198698400 is 489689141811.

It is an interprime number because it is at equal distance from previous prime (11814198698383) and next prime (11814198698417).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544537776 + ... + 1544545424.

It is an arithmetic number, because the mean of its divisors is an integer number (77242126500).

Almost surely, 2^{11814198698400} is an apocalyptic number.

11814198698400 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 11814198698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245732432000).

11814198698400 is an abundant number, since it is smaller than the sum of its proper divisors (32677266165600).

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

11814198698400 is a wasteful number, since it uses less digits than its factorization.

11814198698400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 60.

The spelling of 11814198698400 in words is "eleven trillion, eight hundred fourteen billion, one hundred ninety-eight million, six hundred ninety-eight thousand, four hundred".