901648450820 has 24 divisors (see below), whose sum is σ = 2039112650904. Its totient is φ = 332916350976.

The previous prime is 901648450819. The next prime is 901648450823. The reversal of 901648450820 is 28054846109.

901648450820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60748446784 + 840900004036 = 246472^2 + 917006^2 .

It is a super-2 number, since 2×901648450820² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (901648450823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1733939069 + ... + 1733939588.

It is an arithmetic number, because the mean of its divisors is an integer number (84963027121).

Almost surely, 2^901648450820 is an apocalyptic number.

It is an amenable number.

901648450820 is an abundant number, since it is smaller than the sum of its proper divisors (1137464200084).

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

901648450820 is a wasteful number, since it uses less digits than its factorization.

901648450820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467878679 (or 3467878677 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 901648450820 in words is "nine hundred one billion, six hundred forty-eight million, four hundred fifty thousand, eight hundred twenty".