11315737046536 has 192 divisors, whose sum is σ = 23308159536000. Its totient is φ = 5147595048960.

The previous prime is 11315737046461. The next prime is 11315737046563. The reversal of 11315737046536 is 63564073751311.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22231310250 + ... + 22231310758.

It is an arithmetic number, because the mean of its divisors is an integer number (121396664250).

Almost surely, 2^{11315737046536} 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 11315737046536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654079768000).

11315737046536 is an abundant number, since it is smaller than the sum of its proper divisors (11992422489464).

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

11315737046536 is a wasteful number, since it uses less digits than its factorization.

11315737046536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 52.

The spelling of 11315737046536 in words is "eleven trillion, three hundred fifteen billion, seven hundred thirty-seven million, forty-six thousand, five hundred thirty-six".