201465677952 has 1152 divisors, whose sum is σ = 779389490880. Its totient is φ = 51209625600.

The previous prime is 201465677879. The next prime is 201465677957. The reversal of 201465677952 is 259776564102.

It is a happy number.

201465677952 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 6 + 567 + 79 + 5 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201465677957) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1022668318 + ... + 1022668514.

Almost surely, 2^201465677952 is an apocalyptic number.

201465677952 is a gapful number since it is divisible by the number (22) 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 201465677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389694745440).

201465677952 is an abundant number, since it is smaller than the sum of its proper divisors (577923812928).

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

201465677952 is a wasteful number, since it uses less digits than its factorization.

201465677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 201465677952 in words is "two hundred one billion, four hundred sixty-five million, six hundred seventy-seven thousand, nine hundred fifty-two".