49571918694144 has 2592 divisors, whose sum is σ = 194690654645760. Its totient is φ = 12320468582400.

The previous prime is 49571918694107. The next prime is 49571918694157. The reversal of 49571918694144 is 44149681917594.

49571918694144 is a `hidden beast` number, since 4 + 9 + 571 + 9 + 1 + 8 + 6 + 9 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 556987850452 + ... + 556987850540.

It is an arithmetic number, because the mean of its divisors is an integer number (75112135280).

Almost surely, 2^{49571918694144} is an apocalyptic number.

49571918694144 is a gapful number since it is divisible by the number (44) 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 49571918694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97345327322880).

49571918694144 is an abundant number, since it is smaller than the sum of its proper divisors (145118735951616).

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

49571918694144 is an frugal number, since it uses more digits than its factorization.

49571918694144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 143 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 49571918694144 in words is "forty-nine trillion, five hundred seventy-one billion, nine hundred eighteen million, six hundred ninety-four thousand, one hundred forty-four".