138246924441600 has 1440 divisors, whose sum is σ = 553783446216000. Its totient is φ = 33884468674560.

The previous prime is 138246924441547. The next prime is 138246924441629. The reversal of 138246924441600 is 6144429642831.

138246924441600 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 6 + 9 + 24 + 4 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×138246924441600² (a number of 29 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12885345036 + ... + 12885355764.

It is an arithmetic number, because the mean of its divisors is an integer number (384571837650).

Almost surely, 2^{138246924441600} is an apocalyptic number.

138246924441600 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 138246924441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276891723108000).

138246924441600 is an abundant number, since it is smaller than the sum of its proper divisors (415536521774400).

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

138246924441600 is a wasteful number, since it uses less digits than its factorization.

138246924441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 138246924441600 in words is "one hundred thirty-eight trillion, two hundred forty-six billion, nine hundred twenty-four million, four hundred forty-one thousand, six hundred".