83848688154720 has 144 divisors (see below), whose sum is σ = 286315790774832. Its totient is φ = 22345416821760.

The previous prime is 83848688154599. The next prime is 83848688154727. The reversal of 83848688154720 is 2745188684838.

83848688154720 is a `hidden beast` number, since 8 + 3 + 8 + 486 + 8 + 81 + 5 + 47 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83848688154727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16269987 + ... + 20794466.

It is an arithmetic number, because the mean of its divisors is an integer number (1988304102603).

Almost surely, 2^{83848688154720} is an apocalyptic number.

83848688154720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83848688154720 is an abundant number, since it is smaller than the sum of its proper divisors (202467102620112).

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

83848688154720 is a wasteful number, since it uses less digits than its factorization.

83848688154720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37066045 (or 37066034 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 83848688154720 in words is "eighty-three trillion, eight hundred forty-eight billion, six hundred eighty-eight million, one hundred fifty-four thousand, seven hundred twenty".