2736148985856 has 1152 divisors, whose sum is σ = 9735459552000. Its totient is φ = 754140119040.

The previous prime is 2736148985849. The next prime is 2736148985881. The reversal of 2736148985856 is 6585898416372.

2736148985856 is a `hidden beast` number, since 2 + 7 + 3 + 61 + 489 + 8 + 5 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×2736148985856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7219390275 + ... + 7219390653.

It is an arithmetic number, because the mean of its divisors is an integer number (8450919750).

Almost surely, 2^{2736148985856} is an apocalyptic number.

2736148985856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736148985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867729776000).

2736148985856 is an abundant number, since it is smaller than the sum of its proper divisors (6999310566144).

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

2736148985856 is a wasteful number, since it uses less digits than its factorization.

2736148985856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 491 counting only the distinct ones).

The product of its digits is 696729600, while the sum is 72.

The spelling of 2736148985856 in words is "two trillion, seven hundred thirty-six billion, one hundred forty-eight million, nine hundred eighty-five thousand, eight hundred fifty-six".