553670749166304 has 1152 divisors, whose sum is σ = 1929999072153600. Its totient is φ = 135884268748800.

The previous prime is 553670749166303. The next prime is 553670749166309. The reversal of 553670749166304 is 403661947076355.

It is a super-2 number, since 2×553670749166304² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553670749166303) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14498154442 + ... + 14498192630.

It is an arithmetic number, because the mean of its divisors is an integer number (1675346416800).

Almost surely, 2^{553670749166304} 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 553670749166304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964999536076800).

553670749166304 is an abundant number, since it is smaller than the sum of its proper divisors (1376328322987296).

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

553670749166304 is a wasteful number, since it uses less digits than its factorization.

553670749166304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38408 (or 38389 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 66.

The spelling of 553670749166304 in words is "five hundred fifty-three trillion, six hundred seventy billion, seven hundred forty-nine million, one hundred sixty-six thousand, three hundred four".