36148851648 has 336 divisors, whose sum is σ = 128337803776. Its totient is φ = 9473034240.

The previous prime is 36148851631. The next prime is 36148851649. The reversal of 36148851648 is 84615884163.

36148851648 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 88 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×36148851648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36148851594 and 36148851603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36148851649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8541693 + ... + 8545923.

Almost surely, 2^36148851648 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 36148851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64168901888).

36148851648 is an abundant number, since it is smaller than the sum of its proper divisors (92188952128).

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

36148851648 is a wasteful number, since it uses less digits than its factorization.

36148851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4419 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 36148851648 in words is "thirty-six billion, one hundred forty-eight million, eight hundred fifty-one thousand, six hundred forty-eight".