1198853720064 has 1536 divisors, whose sum is σ = 4834432512000. Its totient is φ = 285831659520.

The previous prime is 1198853720063. The next prime is 1198853720069. The reversal of 1198853720064 is 4600273588911.

1198853720064 is a `hidden beast` number, since 1 + 1 + 9 + 88 + 537 + 20 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1198853720064² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1198853720063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6697506727 + ... + 6697506905.

It is an arithmetic number, because the mean of its divisors is an integer number (3147417000).

It is a 1-persistent number, because it is pandigital, but 2⋅1198853720064 = 2397707440128 is not.

Almost surely, 2^{1198853720064} is an apocalyptic number.

1198853720064 is a gapful number since it is divisible by the number (14) 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 1198853720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417216256000).

1198853720064 is an abundant number, since it is smaller than the sum of its proper divisors (3635578791936).

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

1198853720064 is a wasteful number, since it uses less digits than its factorization.

1198853720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1198853720064 in words is "one trillion, one hundred ninety-eight billion, eight hundred fifty-three million, seven hundred twenty thousand, sixty-four".