6249090523104 has 1728 divisors, whose sum is σ = 23340778352640. Its totient is φ = 1614782822400.

The previous prime is 6249090523099. The next prime is 6249090523121. The reversal of 6249090523104 is 4013250909426.

6249090523104 is a `hidden beast` number, since 6 + 2 + 490 + 9 + 0 + 52 + 3 + 104 = 666.

It is a super-2 number, since 2×6249090523104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6249090523104.

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, 23059374489 + ... + 23059374759.

It is an arithmetic number, because the mean of its divisors is an integer number (13507394880).

Almost surely, 2^{6249090523104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249090523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670389176320).

6249090523104 is an abundant number, since it is smaller than the sum of its proper divisors (17091687829536).

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

6249090523104 is a wasteful number, since it uses less digits than its factorization.

6249090523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 6249090523104 in words is "six trillion, two hundred forty-nine billion, ninety million, five hundred twenty-three thousand, one hundred four".