48698221411840 has 640 divisors, whose sum is σ = 165992773782528. Its totient is φ = 13186883911680.

The previous prime is 48698221411831. The next prime is 48698221411849. The reversal of 48698221411840 is 4811412289684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48698221411831) and next prime (48698221411849).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48698221411849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43004587 + ... + 44122453.

Almost surely, 2^{48698221411840} is an apocalyptic number.

48698221411840 is a gapful number since it is divisible by the number (40) 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 48698221411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82996386891264).

48698221411840 is an abundant number, since it is smaller than the sum of its proper divisors (117294552370688).

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

48698221411840 is a wasteful number, since it uses less digits than its factorization.

48698221411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117938 (or 1117922 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 58.

The spelling of 48698221411840 in words is "forty-eight trillion, six hundred ninety-eight billion, two hundred twenty-one million, four hundred eleven thousand, eight hundred forty".