67849455498552 has 1536 divisors, whose sum is σ = 252194342400000. Its totient is φ = 15970603106304.

The previous prime is 67849455498551. The next prime is 67849455498577. The reversal of 67849455498552 is 25589455494876.

67849455498552 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 9 + 4 + 5 + 54 + 9 + 8 + 552 = 666.

It is a super-2 number, since 2×67849455498552² (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 (67849455498551) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 114417293968 + ... + 114417294560.

It is an arithmetic number, because the mean of its divisors is an integer number (164189025000).

Almost surely, 2^{67849455498552} 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 67849455498552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126097171200000).

67849455498552 is an abundant number, since it is smaller than the sum of its proper divisors (184344886901448).

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

67849455498552 is a wasteful number, since it uses less digits than its factorization.

67849455498552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1198 counting only the distinct ones).

The product of its digits is 17418240000, while the sum is 81.

The spelling of 67849455498552 in words is "sixty-seven trillion, eight hundred forty-nine billion, four hundred fifty-five million, four hundred ninety-eight thousand, five hundred fifty-two".