1202071686816 has 768 divisors, whose sum is σ = 4372863086592. Its totient is φ = 279023616000.

The previous prime is 1202071686731. The next prime is 1202071686821. The reversal of 1202071686816 is 6186861702021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 828442891 + ... + 828444341.

It is an arithmetic number, because the mean of its divisors is an integer number (5693832144).

Almost surely, 2^{1202071686816} is an apocalyptic number.

1202071686816 is a gapful number since it is divisible by the number (16) 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 1202071686816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186431543296).

1202071686816 is an abundant number, since it is smaller than the sum of its proper divisors (3170791399776).

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

1202071686816 is a wasteful number, since it uses less digits than its factorization.

1202071686816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1202071686816 in words is "one trillion, two hundred two billion, seventy-one million, six hundred eighty-six thousand, eight hundred sixteen".