13906349546400 has 288 divisors, whose sum is σ = 50304200325120. Its totient is φ = 3707654307840.

The previous prime is 13906349546393. The next prime is 13906349546407. The reversal of 13906349546400 is 464594360931.

It is a happy number.

13906349546400 is a `hidden beast` number, since 1 + 3 + 90 + 6 + 3 + 4 + 9 + 546 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13906349546393) and next prime (13906349546407).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (13906349546407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118806304 + ... + 118923296.

It is an arithmetic number, because the mean of its divisors is an integer number (174667362240).

Almost surely, 2^{13906349546400} is an apocalyptic number.

13906349546400 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 13906349546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152100162560).

13906349546400 is an abundant number, since it is smaller than the sum of its proper divisors (36397850778720).

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

13906349546400 is a wasteful number, since it uses less digits than its factorization.

13906349546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122525 (or 122506 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 13906349546400 in words is "thirteen trillion, nine hundred six billion, three hundred forty-nine million, five hundred forty-six thousand, four hundred".