6261465684348 has 576 divisors, whose sum is σ = 20700881510400. Its totient is φ = 1552585605120.

The previous prime is 6261465684317. The next prime is 6261465684449. The reversal of 6261465684348 is 8434865641626.

6261465684348 is a `hidden beast` number, since 6 + 2 + 6 + 146 + 56 + 8 + 434 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1598534086 + ... + 1598538002.

It is an arithmetic number, because the mean of its divisors is an integer number (35939030400).

Almost surely, 2^{6261465684348} is an apocalyptic number.

6261465684348 is a gapful number since it is divisible by the number (68) 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 6261465684348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10350440755200).

6261465684348 is an abundant number, since it is smaller than the sum of its proper divisors (14439415826052).

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

6261465684348 is a wasteful number, since it uses less digits than its factorization.

6261465684348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490 (or 4485 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 6261465684348 in words is "six trillion, two hundred sixty-one billion, four hundred sixty-five million, six hundred eighty-four thousand, three hundred forty-eight".