48563154416640 has 352 divisors, whose sum is σ = 155654105333760. Its totient is φ = 12922874265600.

The previous prime is 48563154416633. The next prime is 48563154416641. The reversal of 48563154416640 is 4661445136584.

It is a super-2 number, since 2×48563154416640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48563154416641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23004809185 + ... + 23004811295.

It is an arithmetic number, because the mean of its divisors is an integer number (442199162880).

Almost surely, 2^{48563154416640} is an apocalyptic number.

48563154416640 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 48563154416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77827052666880).

48563154416640 is an abundant number, since it is smaller than the sum of its proper divisors (107090950917120).

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

48563154416640 is a wasteful number, since it uses less digits than its factorization.

48563154416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 57.

The spelling of 48563154416640 in words is "forty-eight trillion, five hundred sixty-three billion, one hundred fifty-four million, four hundred sixteen thousand, six hundred forty".