7541633361216 has 112 divisors (see below), whose sum is σ = 20008305269568. Its totient is φ = 2507030323200.

The previous prime is 7541633361209. The next prime is 7541633361239. The reversal of 7541633361216 is 6121633361457.

It is a super-2 number, since 2×7541633361216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165760231 + ... + 165805721.

It is an arithmetic number, because the mean of its divisors is an integer number (178645582764).

Almost surely, 2^{7541633361216} 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 7541633361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10004152634784).

7541633361216 is an abundant number, since it is smaller than the sum of its proper divisors (12466671908352).

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

7541633361216 is a wasteful number, since it uses less digits than its factorization.

7541633361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47840 (or 47830 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 48.

The spelling of 7541633361216 in words is "seven trillion, five hundred forty-one billion, six hundred thirty-three million, three hundred sixty-one thousand, two hundred sixteen".